Interesting, so even if there is continuity on the flasher fuse it might be faulty somehow? I'm also going to inspect the wiring going to the cab over camper plug and some at-home wiring done for a trailer hitch (PO). My guess is there is a short back there somewhere.
I can't say for sure, but I replaced my flasher and the issue hasn't returned. Old flasher seemed ok but it was 30 years old so since replacing it fixed my problem I didn't give it a second thought. Yes, my old flasher had continuity.
I just figured you could try it and it wouldn't cost you anything but a fuse if that's not the problem. I'm not a fan of crawling around with mud falling in my face pulling apart wiring looms if I don't absolutely have to