Nah....Wyoming was Fulmer's biggest problem that year.
Even though it is nearly blasphemous, when you consider the inept coaches in the SEC when Fulmer made his run (late 90s) - there's no wonder he won so many games with the coordinators/recruiting he had. He had the magic dust - tenure, trust, long-standing coaches, brand, TV exposure, huge stadium, facilities, etc. Spurrier of course was his only nemesis - and Fulmer managed to beat him a few times. Thanks to Jimmy Sexton, the coaching talent in the SEC improved dramatically and left Fulmer behind.