My guess.
The nursing home ploy was planned by the dems/DS. I use DS to mean any established pol. Don't really know why, but any answers that seem logical to me are one's I don't want to think about.
Further, Cuomo must not be in the faction trying to consolidate power, and knowing what he knows, he can derail their power play by dishing on the details of the scope of involvement outside NY. He was also discussed as a Biden replacement in the 2020 election, furthering his level of threat to the faction consolidating power. He's a major POTUS contender, and electable, unlike Harris or Mike.
He has to be discredited via his alleged indiscriminate sexual habits so that no one will listen to him or take him seriously, say, if he decides to turn states evidence, etc.
Any other NY officials are just bagmen for the dem/DS suits calling the shots. Anyone in the chain of command in NY is the potential next target of dem/DS retribution, so they have to show their colors by dissing on Cuomo to try to keep safe. They won't be. Just the suits lining the ducks up and the alligators will just eat them last.
TL;DR He knows too much. Credibility has to be completely destroyed.