It's a subdomain, video.parler. There are normally different DNS records for subdomains. So this is likely hosted somewhere else, maybe even an entirely different platform.

Also Parler uses AWS's S3, so this might just be an S3 bucket behind it. Things like direct S3 access are probably still working, as they need time to get their data off anyway.

Edit: it's a CDN by a company called Level 3, probably they're only a small part so didn't get hit by people emailing them demanding them to stop hosting it. Amazon controls the DNS information for Parler, but they only nuked the top level domain, and left the subdomains still pointing to the correct places. It points to video-cdn-cl.parler.c.footprint.net.