Could you expand on the complicated reasons? Or have a resource handy? Is it Bluetooth wireless or 2.4GHz radio adapter wireless that’s faster?
Radio is also generally significantly more consistent - even when the polling rates are identical. You can see this if you look at the testing done by RTings for mice and keyboards. The latency when using 2.4GHz wireless is extremely consistent, while for standard wired connections, the latency varies drastically from input to input.
Bluetooth is crap and should never be used for gaming inputs. It's both high latency and inconsistent.