How to reproduce:
1. Open attached project "AssetRenameBug.zip"
2. Make sure that Asset Pipeline version 2 is selected (Project Settings -> Editor -> Asset Pipeline -> Active version 2)
3. In Project window, right-click -> Create -> ScriptableObject -> DialogueInteractionGraph
4. Observe the names of the created object and its child (xNode window is opened)
5. In the xNode window, click "Rename Asset File" button
5. Observe the names of the created object and its child

Expected result: the created object name is "Dialogue Graph Renamed", child name is "Interaction Context"
Actual result: the created object name is "Dialogue Graph Renamed", child name is "New Dialogue Interaction Graph"

Reproducible with: 2019.3.0a1(ver2), 2019.3.0f6(ver2), 2020.1.0a22(ver2), 2020.1.0a25(ver2)
Not reproducible with: 2019.2.20f1(ver2)
Could not test with: 2017.4.36f1, 2018.4.17f1(Asset Pipeline version 2 was not present)

Notes:
The issue only reproduces with Asset Pipeline version 2 on 2019.3.0a1 and newer. The issue does not reproduce on Asset Pipeline version 1