It's like keyboards, as measured by Dan Luu [1]. I can totally feel the difference between some listed on that web.
Stacks are adding up a lot of latency, and I'm trying to remove as much as I can from my configuration.
An extreme comparison is to run Emacs in text mode with Ethernet, a good wired connection and USB Magic Keyboard vs Emacs on a heavy desktop environment, WiFi and a laggy wireless keyboard. Night and day difference. On the second one, there's a lot of lag.
Depending on signal strength, contention, hardware quality, WiFi mode, etc, you'll get multiple milliseconds.
Right now I checked and got 20ms+/-5. 802.11n, decent signal strength, very low interference (rural location).
More typical latency figures: https://hpbn.co/wifi/#measuring-your-wifi-first-hop-latency
-- It took a lot of years to get here.
-- It took expensive equipment to get here.
-- I'm lucky that my house doesn't have a lot of brick or steel or some other material that blocks signals
-- I still believe that wired is more secure.
-- When it's wired, I know it's either working or it's my ISPs fault. When it's wireless, I'm left doubting.