True LE needs a warrant to search.LE cannot enter her NYC apartment without a warrant nor take anything not specified by the warrant. I agree it seems strange that the Princeton PD has not been to NYC.
In this case a warrant would be easy to obtain.
LE has to convince a magistrate that they have probable cause that evidence of a crime may be found there.
I think in this case, that would be easy.
Princeton Police would not go to NY. They turned everything over to the District Attorneys Office, (Joe Early Jr.) and the State Police.