I have been playing since the playtest and this is still not fixed. We all know that this game can run on almost any PC with decent specs. In my case I own a 3GB VRAM card which is kinda ok but when I play battlebit, after a few maps, everything start to get kinda laggy when my GPU hits 3GB of VRAM (fps drop to 70 from 120)
So my suggestion is make use of the Resources.UnloadUnusedAssets that Unity offers to prevent things like this happen.
The main menu uses like 1.8GB of VRAM and every map uses like ~200-300MB of VRAM + Player Objects and other objects like destruction.
Valheim implements this and it cleans the unused assets every 20 minutes (See pic)
This is more like a bug report but I don't want this message to get lost among the other messages.