Doing the work and being legally responsible to the FCC are two different things. The buyer is still responsible to the FCC. If the tower falls down, the FCC can contact the buyers, and they contact the contracted staff who handle the situation.
Other way around. The FCC has no staff, or even delegates, who check if towers are standing or not... or any other operational issue.
FCC field operations are so reduced that many markets have multiple pirate stations, translators operating without an agreement with a signal to "translate", excess power operation, failure to do legal IDs and on and on and on. Miami, New York and Houston are the hotbeads of pirates, but stations engaging in illegal operations are found everywhere; the most obvious are daytimers that stay on all night and directional systems that are running on just one tower.
If a tower falls, the licensee is responsible for notifying the Commission that they are off the air*... and further requesting an STA for remaining silent... and requesting a temporary antenna, maybe with reduced power... and so on.
The FCC does not "find out" or "know" that you have such an issue. The licensee bears the burden of keeping the FCC updated on any change in the licensed facility. Only in rare cases where a station neither notifies nor operates legally will a third party file with the FCC objecting to the way the station is running.
Regardless of the money, the buyers are the ones who are responsible to the FCC and answerable in the event of a violation.
That is true. The issue here is that there has never been a post-Sale reverse LMA where the seller retains absolute control of station operations and has a majority position on the equivalente of the "new" operation's board of directors.
* And notifying the FAA that the tower is down if it is marked on aviation maps as a "landmark" or if it was the only lit tower in a directional array or if there is any other hazard. Local regulations may require notification of a hazard and the filing of paperwork to allow rebuilding the tower