I think someone is confused.

You said antenna, you said nothing about traps!

Antenna to me would either be a vertical radiator - or a horizontal dipole.

Would either of these antenna's get warm from 10 watts? The answer is no!
Not unless the antenna was grounded to something - which shorted it out.

Would 100 watts make an antenna get warm? The answer is NO! Not unless it was not resonant to begin with, and even then, only if there was something in the atmosphere to cause it to short.

Feel your coax - does RG 8 get hot if the antenna is resonant? NO!

Maybe if you were running full legal power into a non resonant antenna, or 3500 watts into a antenna that was designed for 1500 watts...

Power is more or less vanity.
Some people thinks that they cannot talk unless they have more power.
Some old people thinks that they can't talk unless their signal is 20/9!
Technically this is called BROADCASTING!

The problem is - no one is brave enough to stand up to the LIDS to tell them that what they are doing is in fact ILLEGAL!