I had too many issues with code-server and vscodium and such when it came to proprietary extensions unfortunately, and my actual dev machine is in the cloud so I rely on the Remote Dev extension. Has to be real VSCode.
I like that you can create a PWA from a standard code-server deployment too, and that works quite nice on DeX (proper immersive-mode full screen), but for me that has been too limiting because I cannot remap my brain away from my vim keybindings, and some stuff just doesn't work in a browser context. The browser will take over certain things (like ESC for getting out of full screen or alt+tab for navigating across browser tabs rather than VSCode tabs, etc).
As a rule of thumb now, any software that's complicated enough to require tabs, I try to run native arm64 builds for (VSCode, Obsidian, browser) and everything else I can get away with kiosk-mode browser windows masquerading as apps (email, calendar, feed reader, chat).