IRV with majority-approved candidates winning first

The idea is to do IRV, except voters can indicate approval thresholds. If a majority approve someone, they win, otherwise, elect the IRV winner.

I think this idea could work for IRV opponents because even when voters Favorite Betray in the rankings, they can safely approve their honest favorite. For IRV advocates, there’s practically no issues in terms of failing LNH, since if voters don’t want to approve their lower preferences, then the election proceeds under IRV rules.