I don't think behavior is different (anyway it isn't for any dongle I own - including S9/E1DAs/S8). Which may differ with the prompt, is if you granted a permanent authorization to UAPP to use one or another dongle, and if UAPP is already running or not when you connect it, and if you chose an app in particular to always launch at device connection (instead of "once only").
[EDIT] What matters at the end is if UAPP says "USB DAC", you're in exclusive mode, if it says "Direct" you're in shared mode with android system resampling.
[EDIT 2] BTW, you can clear device authorizations and default launches at connections in UAPP app info menu, that should reset behavior. But to be complete, you should do the same with any app using the dongles.
[EDIT 3] Don't know if I made myself clear, there is usually a prompt to request access, a prompt to launch the app at connection, and a prompt to choose between apps if more than one can use the dongle (E1DA for example with the 9038 app). Plus it can differ if you made permanent choices for a dongle, or if UAPP is already running or not. All of these and combination between can cause different schemes of prompts.