Hi, does disabling wifi actually switch off the carrier signals, or does it leave them on and simply stop sending data?

Related to that, is there any reason not to unscrew the antennae and remove them? I know some traditional radio transmitters can be damaged that way, but since this is much lower power and the wifi is in theory off, just wondering if it will matter.

I wire my office and have no need at all for WiFi.

[The answers will be helpful, because now, since I installed internet I get banging headaches and tinnitus whenever I'm at my desk. I need to eliminate this as a possible cause. I appreciate there is considerable controversy about this point. Please humour me on this, I'm simply adding this info just to give some background as it may help avoid irrelevant answers.]

Many thanks