The riding time doesn't carry over into the TB's, but if you have 1:00+ RT and the end of SV you win with the RT point. See the NCAA Rulebook:
First Sudden-Victory Period. In tournament or dual-meet competition when competitors are tied at the end of three regular periods, the first round of overtime shall begin with a sudden-victory period of two minutes with no rest between the regular match and the sudden-victory period. The sudden-victory period will begin with both wrestlers in the neutral position. Exception: Nonbleeding injury timeout. If, because of a first nonbleeding injury timeout, a wrestler secures one minute of riding time at the conclusion of the sudden-victory period, that wrestler shall be awarded one point for riding time and be declared the winner.