One “pretty big bowl game” does not a top tier football program make. Also, Uconn football became independent in 2019, long after the P5 ship had sailed. Finally, they played in the AAC from 2013-2019, were 20-65 in those years and never won the conference. They never even sniffed the Top 25, never mind the top 10.
They were 60-51 in the BE years, 2004-2012, and were in the Top 25 at some point in 3 of those years. They played in 5 bowl games during that time. When the conference split due to defections, primarily to the ACC, Uconn was not offered a spot anywhere so they went to the AAC, where the program crumbled.