How old is your BTR3K btw and how's the battery holding up, have you tried to replace it by any chance? (The battery btw is the same used by tws tws cases, so replacement is really easy).

I wasn't looking for quality here, just wanted ease of being disconnected at the lowest possible latency for gaming needs.

For audio experience I still go wired on my phone (not an audiophile experience ik) but luckily Oppo (Reno 10x/my phone) is a music company so it still provides an inbuilt DAC (w/24 bit 192khz hi res certified)