Move to name.com instead because they don't practice this type of distasteful PR.
"Specifically, GoDaddy appears to be returning incomplete WHOIS information to Namecheap, delaying the transfer process. This practice is against ICANN rules."
If they just said "we're having issues with transfers in from GoDaddy right now, we've contacted them about the issue and are waiting to hear back, and we'll update you with any of their responses and/or progress on the matter", I'd be much more impressed. It seems that they're trying to kick GoDaddy while they're down instead of working to actually resolve the issue for their clients.
If they're wrong, well, everyone is pissed at GoDaddy anyway, so this angle fades quietly from view.
I don't see the PR downside for Namecheap here.
Justification for acting like a dick can't be post-dated. You are either justified in making statements like namecheap did, or you're publicly naming and shaming on an unproven hunch. Either namecheap should show their cards and say "we know they're slowing us down, and here's proof", or they should try to be a little bit more professional with their public statements.
I know that this is an exciting time for everyone involved, but seriously, this is starting to play out like a school-yard drama.