diff --git a/docs/environment-variables.md b/docs/environment-variables.md
index 839709aad05..e23676a7d92 100644
--- a/docs/environment-variables.md
+++ b/docs/environment-variables.md
@@ -200,3 +200,7 @@ those.
   identified as unused, `graph-node` will wait at least this long before
   actually deleting the data (value is in minutes, defaults to 360, i.e. 6
   hours)
+- `GRAPH_STORE_BATCH_TARGET_DURATION`: How long batch operations during
+  copying or grafting should take. This limits how long transactions for
+  such long running operations will be, and therefore helps control bloat
+  in other tables. Value is in seconds and defaults to 180s.
diff --git a/graph/src/env/store.rs b/graph/src/env/store.rs
index 077088b5b39..4bfe0d0616f 100644
--- a/graph/src/env/store.rs
+++ b/graph/src/env/store.rs
@@ -87,10 +87,10 @@ pub struct EnvVarsStore {
     /// done synchronously.
     pub write_queue_size: usize,
 
-    /// This is just in case new behavior causes issues. This can be removed
-    /// once the new behavior has run in the hosted service for a few days
-    /// without issues.
-    pub disable_error_for_toplevel_parents: bool,
+    /// How long batch operations during copying or grafting should take.
+    /// Set by `GRAPH_STORE_BATCH_TARGET_DURATION` (expressed in seconds).
+    /// The default is 180s.
+    pub batch_target_duration: Duration,
 }
 
 // This does not print any values avoid accidentally leaking any sensitive env vars
@@ -127,7 +127,7 @@ impl From<InnerStore> for EnvVarsStore {
             connection_min_idle: x.connection_min_idle,
             connection_idle_timeout: Duration::from_secs(x.connection_idle_timeout_in_secs),
             write_queue_size: x.write_queue_size,
-            disable_error_for_toplevel_parents: x.disable_error_for_toplevel_parents.0,
+            batch_target_duration: Duration::from_secs(x.batch_target_duration_in_secs),
         }
     }
 }
@@ -171,6 +171,6 @@ pub struct InnerStore {
     connection_idle_timeout_in_secs: u64,
     #[envconfig(from = "GRAPH_STORE_WRITE_QUEUE", default = "5")]
     write_queue_size: usize,
-    #[envconfig(from = "GRAPH_DISABLE_ERROR_FOR_TOPLEVEL_PARENTS", default = "false")]
-    disable_error_for_toplevel_parents: EnvVarBoolean,
+    #[envconfig(from = "GRAPH_STORE_BATCH_TARGET_DURATION", default = "180")]
+    batch_target_duration_in_secs: u64,
 }
diff --git a/store/postgres/src/copy.rs b/store/postgres/src/copy.rs
index d2fddbe8f93..7fea7be9860 100644
--- a/store/postgres/src/copy.rs
+++ b/store/postgres/src/copy.rs
@@ -34,7 +34,7 @@ use diesel::{
 use graph::{
     components::store::EntityType,
     constraint_violation,
-    prelude::{info, o, warn, BlockNumber, BlockPtr, Logger, StoreError},
+    prelude::{info, o, warn, BlockNumber, BlockPtr, Logger, StoreError, ENV_VARS},
 };
 
 use crate::{
@@ -51,7 +51,7 @@ const INITIAL_BATCH_SIZE: i64 = 10_000;
 /// arrays can be large and large arrays will slow down copying a lot. We
 /// therefore tread lightly in that case
 const INITIAL_BATCH_SIZE_LIST: i64 = 100;
-const TARGET_DURATION: Duration = Duration::from_secs(5 * 60);
+
 const LOG_INTERVAL: Duration = Duration::from_secs(3 * 60);
 
 /// If replicas are lagging by more than this, the copying code will pause
@@ -308,8 +308,9 @@ impl AdaptiveBatchSize {
     pub fn adapt(&mut self, duration: Duration) {
         // Avoid division by zero
         let duration = duration.as_millis().max(1);
-        let new_batch_size =
-            self.size as f64 * TARGET_DURATION.as_millis() as f64 / duration as f64;
+        let new_batch_size = self.size as f64
+            * ENV_VARS.store.batch_target_duration.as_millis() as f64
+            / duration as f64;
         self.size = (2 * self.size).min(new_batch_size.round() as i64);
     }
 }
diff --git a/store/postgres/src/relational_queries.rs b/store/postgres/src/relational_queries.rs
index 116f61c49ff..05bca666c8f 100644
--- a/store/postgres/src/relational_queries.rs
+++ b/store/postgres/src/relational_queries.rs
@@ -500,22 +500,12 @@ impl EntityData {
                     if key == "g$parent_id" {
                         match &parent_type {
                             None => {
-                                if ENV_VARS.store.disable_error_for_toplevel_parents {
-                                    // Only temporarily in case reporting an
-                                    // error causes unexpected trouble. Can
-                                    // be removed once it's been working for
-                                    // a few days
-                                    let value =
-                                        T::Value::from_column_value(&ColumnType::String, json)?;
-                                    out.insert_entity_data("g$parent_id".to_owned(), value);
-                                } else {
-                                    // A query that does not have parents
-                                    // somehow returned parent ids. We have no
-                                    // idea how to deserialize that
-                                    return Err(graph::constraint_violation!(
-                                        "query unexpectedly produces parent ids"
-                                    ));
-                                }
+                                // A query that does not have parents
+                                // somehow returned parent ids. We have no
+                                // idea how to deserialize that
+                                return Err(graph::constraint_violation!(
+                                    "query unexpectedly produces parent ids"
+                                ));
                             }
                             Some(parent_type) => {
                                 let value = T::Value::from_column_value(parent_type, json)?;