Yes, I know that's much more common in the spring sports that also rotate alphabetically - due to a lack of facilities to host say Big Ten Outdoor Track or if championship weekend lines up w/ spring commencement etc.
No inside info here but I could see Wisconsin historically have declined due to potential overlap w/ MBB/WBB/MIH since they would all operate out of the Kohl center (Big Ten tourney weekend for wrestling I think is opening weekend of Big Ten hockey tourney which is on campus by seed and also last week of conference basketball games)