I just saw this. YESSS. Always frustrating to have to go to the iPad display then back to the monitor.
Since you are using a monitor, do you notice any "spring board crashed with multipole apps
For example: i had my M5 iPad Pro connected to Anker's TB5 dock connected to my 57" Dual-4K Odyssey G9. Safari-Hulu had serious issues playing video so i went with Chrome. Anytime i had a video player with chrome [Youtube, Hulu, Prime Video] and then open a Safari window, the screen would go black. I'd hear the iPad charging sound then have to log back in.
The most frustrating aspect of expended monitor [OS 26.5]