No, the Atari name exists today. Famous defunct company names regularly get bought by entities wanting to cash out whatever goodwill or positive associations still left in them. Would-be buyers with less extractive ambitions can't compete in the auctions.
So no, Atari doesn't exist today, what exists is a company wearing Atari's skin as a suit, in order to fool you. Don't be fooled by names without the organisational continuity to back it up.
Better example is AKG which used to be well respected for making high-quality headphones, until Samsung bought their parent company and started just using their logo from 2017 on cheap crap.
The original engineers formed a different company Austrian Audio (no article on wiki apparently)
So no, Atari doesn't exist today, what exists is a company wearing Atari's skin as a suit, in order to fool you. Don't be fooled by names without the organisational continuity to back it up.