No, that’s hubris. The same hubris shown by UH fans who don’t want to play the likes of Texas southern, or UTEP, or any other program deemed unworthy.
Passing on an offer because it doesn’t benefit you is definitely not a sign of fear.
UT scheduling Michigan, Ohio state, LSU, and Alabama makes anyone who says UT fears UH look bad.
Even if UH all of a sudden started getting 5 star players there’s still enough to satisfy the needs of UT, and other programs who recruit, yet do not play anywhere near Houston.