Shader Graph asset icons are shown incorrectly after reimporting the project library

Shader Graph asset icons are shown incorrectly after reimporting the project library. 
Or after say, cloning a project from github for example! 
Or downloading a repro project from a remote drive...
Generally, the icons appear again, correctly, after you open and save the shader graph asset once.

Repro steps:

• download the attached project https://drive.google.com/file/d/1u2UPlJULOjRtKe-hwUOeKcOGXwvVUIu4/view?usp=sharing
• open it with the latest 2023.2 (it was created with 2023.2.0b2)
• notice that the shader graph shaders assets have the regular shader asset icon, not the blue shadergraph one 

Expected result: The assets should have the correct asset icon.

Reproducible with 2023.2.0b2 and Shadergraph version 16.0.3
Cannot repro with 2023.1.071 and ShaderGraph version 15.0.6