He still has to be making money.
Why else would the site still be running?
The site may still be online, but only because operator has left it.
He cannot be making any money if the deposits have stopped

I doubt the deposits have stopped.
There would be no point and a greater paper trail to leave a site up that is not generating income especially a site that is ran by a thief.
No need to doubt it, take a look here :
https://blockchain.info/address/19mcjofGwKxGwhaZwDwPjdWd1KrFCZgoJJLast deposit 2016-04-30 19:07:39
Paper trail? you mean fake credentials left with a hosting company that is hidden behind cloudflare?
The site will be left until the paid for hosting and site certificate runs out.