Do wireless headsets have higher latency for pcvr even when wired?

Basically title. I have used cv1 almost from the time It was released, and it was my only headset from that time. I have also used my friends pico 4 a few times and felt like it had more latency while moving. Is it really a thing, and do quests have the same issue? I was looking to upgrade, but with most of the market being wireless headsets I’m a tad afraid. Is index still the best consumer option? I think they can get quite cheap used in my specific region