Not if he is playing on a CRT it wouldn't.
I had several 2600s that I thought were dead as they would give me snow, then I would flip on power and get just a black screen and nothing. Found out that 3 "dead 2600s" were due to me actually testing by using a "dead wall wart". The fact it was working fine and then suddenly went to the three lines and then nothing since after about an hour of use... the power supply could get hot enough that if something in there was on its last legs that could be enough to take it out.
We don't know the full story on this either as there could have been a power surge or something they aren't ware of that could have happened.
If the carts were dirty...then you would normally at least get colored lines with a single tone playing when you flip on the power. I've even had actual bad carts that no cleaning could bring back to life, that would at least give me colored bars when powering on the atari.
Troubleshooting anything with electronics follows the ASAP rule:
Always Start At Power
I say replace the wall wart and see what you get. Never hurts to have a spare one anyway.
As for reconditioning kits for the 2600....I get mine here:
Edited by -^CrožBow^-, Thu Mar 16, 2017 4:03 PM.