I don't have top of the line earbuds but the Bluetooth latency kills me. It's just enough to be really irritating and rhythm games are infuriating. I've been trying to find 2.4ghz dongle type but none I could find seemed any good.
Headphones that support AptX LL made a big difference for me. I picked up a cheap set on Amazon that work well but they have really terrible battery life. I may replace them now that I know AptX LL works pretty well.
I tried several other pairs that only supported SBC and AAC and the latency was irritating, even for the slow paced games I play (like Powerwash Simulator).
Edit: This is the pair I got, they've released a new model so maybe it's improved but I certainly don't get 20 hrs on a charge.
+1 for soundcore, they're so good. I was going to recommend the soundcore p3, but I don't have a steamdeck so idano if there's reasons those are better, but I've been super happy with everything soundcore. I have 2 of their Bluetooth speakers too, one for work and one for home.
Not what you asked for and you're not a fan, but if you're frequently finding yourself using your Deck at times you need to keep your ears open, I'd also recommend also finding a set of Bluetooth bone conduction headphones.
Of course it's not the best sound and there's a little lag, but I find myself needing to keep an ear on the world while using my Deck more often than I thought I would back when I got it. They've been really handy for a $50 Amazon pickup.