Heavily depends on the game and how the patches are installed.
If the patch comes as an exe, on Lutris next to the Play button you’ll find a wine glass icon with a menu next to it, you can use ‘Run EXE inside Wine prefix’ to run the patch installer and I’ve had it work most of the time. Sometimes you’ll need a .NET dependency which you can install through Winetricks using the same menu.
A lot of patches for older games require DLL files which you have to manually declare in Wine, One again in that Wine glass menu you’ll fine ‘Wine Configuration’ and in the Libraries tab of that, you declare what DLLs you need to “override”.
I don’t play either of those games you mentioned but I mainly play and mod older games these days and had pretty good luck running 95% of them through Lutris. You just sometimes have to find workarounds.
Honestly might be the other way around for me. I was mainly a multiplayer guy for the longest time but most franchises I was invested in quickly went down the drain and a lot of the newer battle-royal style shooters didn’t appeal to me.
Started mainly playing older games that had been on my backlog for a while. And videos of the Steamdeck running them games started popping up.
So since I already hated Windows 10 from the start and I didn’t need my PC to run the latest AAA multiplayer games anymore, seemed like a better time than ever to switch.
I still play some multiplayer with Battlefield 4 and Battlebit Remastered. (R.I.P Battlefield 1 and Ironsight on Linux though…)