I just wanted to link to another thread here to see if anyone has any fresh insights in this more focused forum. Here's the original post: https://powerusers.microsoft.com/t5/Building-Power-Apps/Capture-further-error-details/.
Per the original poster, is there any way to capture/control the server response part of the error message that you see in Power Apps Studio and sometimes in play mode? None of the saved messages in the Error table seem to include this.