Is the precedent, that if you have a generally responsible public figure who knows they're on TV and doesn't have a past record of foul language, and something slips out, that we won't hit you with a punitive fine? I think both the industry and the public would embrace that precedent.
What is, all told, best for the public interest?
Fact is, many many many Americans use this kind of language every day. Every adult has heard it, as have the vast majority of children.
If we prosecute for allowing this to get through to air, we require every broadcast involving personnel not working for the station to be broadcast on delay. Do not underestimate the cost of a broadcast delay for television. More importantly, don't underestimate the cost of paying for a warm body to watch every remote with their finger on the dump button.
In the end it'd probably be cheaper to air the remote live & pay the fine.. or, to simply stop doing live broadcasts & put everything on tape.