I would keep with what you have. If you don't have a compelling reason to get something new it's not really worth it. That is how I try to look at it. Helps me save money and the planet
Unless you need back buttons or drift resistance of 8bitdo Ultimate Bluetooth, I'd stick with Dualsense
I got my 8bitdo controller for the very same reasons, my Dualshock 4 (with back button attachment) started drifting and I just got tired with adjusting deadzones to combat this lol
I cannot speak for deck specifically, but I'm using Dualsense with my linux pc with almost zero problems. My issue is mainly being unable to check the battery without installing dualsensectl.
The Dualsense is a really good controller. Would only change it if there was a compelling reason. Plus, if you still have a PS5, using the same type of controller for everything will make switching between systems less awkward for your muscle memory.
It's your preference, however in the event the Dualsense ages too old and needs replacement, assuming you have a PS5 you'll need to replace it to continue playing on PS5
My main platform is PC, I have various consoles and I keep a unique controller for each because on PC I play enough to burn through controllers, If I use my one Dualsense that would risk my ability to play on my PS5 until I replace it and limit my next controller option to just the Dualsense.