a couple big caveats, one being if in fact there truly is a trend real estate searches are a very weak indicator.
also, where ever someone from nyc (or it seems any city) might be moving or looking to move remains urban, not suburban. in other words, people are not abandoning urban areas for the suburbs. thats a myth.
the good news about the latter is that means indeed people might be abandoning nyc for cleveland, for example. the bad news is the same trend exists for cleveland and other cities. that is, people might be looking to leave cleveland for another city.
in summary it seems its not clear if there is anything here officially trending beyond anecdotal quite yet.
so thats a bit of a surprize for me given our building and the west village nyc at least. btw just this morning neighbors who can see into another apt building next to us said the lights are on with many empty apts there too. now i am thinking it might just be our neighborhood, because i was up in wash hts and the bronx today for the first time back for work and it seemed same as ever up there.