I recently did some testing with transmitters and headphones/receivers for handheld devices (Switch/3DS) and found that latency is too high unless you are using the aptX Low Latency codec. Even then, it's
just passable for me.
Regular aptX/aptX HD, SBC, or AAC are all too high latency and have a very obvious delay.
One of the transmitters I used had a reduced-latency aptX mode (different from aptX-LL) which minimized latency as much as that codec could support, and it was still too high.
Unfortunately most wireless headphones don't support aptX-LL. Most which do are ones listed on Amazon from companies you've never head of that ship direct from China.
Avantree's transmitters/receivers were very high quality in my testing, and they do make headphones which support aptX-LL - though I haven't tested those.