Unfortunately nobody here has control over the drivers. These are USER TO USER assisting each other forums.
To talk to AMD about your issue go here: https://www.amd.com/en/support/contact-email-form
Apparently backward game compatibility has been an issue with Navi cards where older AMD cards are fine.
No idea if AMD is working on it or not. You certainly are not the first to have issue.
Some older games, not sure about that one have issues running on any GPU.
I find the Steam game discussion pages a great place for information on optimization or tips on how to get old games to run. If you have not checked their or just googled that game fore optimization tips I would try that.
Game is way to old now for anyone to do anything about it.I even contacted Punkbuster back when they dropped all support,It was an EA decision and no one could change it.Sad because I played that game right to the bitter end.
Tried playing it a few years back on an older machine and couldn't get it working right.
It may just be Windows 10 as well not playing nice with it too and not a driver issue. Same thing happens with STALKER Clear Sky which is, or was as I haven't checked it in a while, completely broken on Windows 10 on both GoG and Steam versions, even when running it in compatibility mode and tweaking config files.
As pokester said the Steam forums are a great place to ask, as well as the EA forums, but I have to think there are better workarounds than using a legacy gaming system with period hardware and software given there is still an active community. There may be a fan made patch or two which allows it to be played properly too.
So it looks like AMDs forum here is absolute garbage and wont even let you post links (good going guys, making troubleshooting your products even more of a hassle). The solution I found worked for me was downloading the "high definition remaster" mod from modDB for BF1942, I just installed the "dgVoodoo" + "LAA pack (UPDATED PACK)" and that fixed all the issues you've described. For reference I am using both a Ryzen 5900x and an RX 6900xt