LIV Golf was televised in Canada this year on CHCH-TV Hamilton, a superstation there akin to WTBS in the old days of cable in the U.S. There were local commercials, just dropped into the LIV feed, albeit carefully, by CHCH. Coverage would be picked back up in mid-sentence.
I'd imagine a network deal would force a rearrangement of the no-commercial policy, unless LIV succeeded in just buying the time. Which would be a drop in the budget bucket compared to some other expenses. LIV didn't want to do it this year, figuring it would hurt the value of whatever rights fee they're aiming for in 2023. But if they don't get a rights fee, then I think they write the check, the way Champ Car did for races on CBS in the late 1990s-early 2000s and other entities have done to get air time over the decades.