I used to buy/sell junk stuffs in nyc. I would doubt this is a stolen collection from the pics posted. Looks like a classic dump of the non-valuable lps from a larger collection. Maybe a dealer already bought the good stuff and the relatives of a deceased family put it on the curb, maybe a record store dumped it on the curb, maybe someone even drove by skid row and offered it for free because it was discarded.

Wash Your Hands! And clean the records and sleeves thoroughly. The ripped and torn sleeves look like they've been chewed by mice... (in the biz we called it "rodentia scarring" or something equally fanciful)