Honestly, as a last resort, it's not a bad idea. I have a fair amount of ESD test gear at work, including a bunch of static discharge guns and the like that can be dialed up to some crazy levels. I was once stuck in a situation much as you - they controlled the modem/router and it was crapping out every few hours, and they were the only game in town for non-dialup access (this was 15ish years ago). I'd already replaced it with a spare that did not have the issue, but since it wasn't provisioned, the only place I could go was their internal pages.
I spent probably two hours going through L1 support, L2 support, and then had them tell me that "oh, sometimes the boxes just do that". So I took the box to work, fried the shit out of it, plugged it back in to let it power up and do real damage to itself now that half the fet gates were probably cooked, and then called them back to tell them that the box had finally crapped out and started smoking. They promptly sent me a new one, and told me "must have been lightning or some sort of power surge."
Yup, a power surge indeed.
Ha, been there. Interesting what a Tesla coil vacuum leak detector will do to some electronics.