If you're into twitch shooters you want wired anyway.
Bluetooth is more convenient if your laptop has the BT built in. Otherwise I guess go with your favourite mouse and plug in whatever dongle is appropriate.
The latency penalty for wireless instead of wired in modern gaming mice is <1ms now. The inaccuracy caused by cable drag will hurt your performance more.
That video is classic LTT; interesting idea terribly executed which leads to incorrect conclusions. The latency difference doesn’t matter to humans, but wired is faster.
How can they be? Assuming you're using a usb dongle, the interface is exactly the same. Only the wireless has an extra wireless path in the connection.
There's just no way it can be faster, only equal or slower.