Leaning towards there's something else going on deep in the DNS/ad servers/cdn/who knows. Not the first I've seen/heard of resolving delays with t.co... maybe it's even just something with legacy non-SSL links being redirected etc
The link you clicked in the NYT bio is not a t.co link - I assume you noticed that but still are using it as counter-proof?
No buzzwords there, just suspicion there's something else underlying with various technologies that are in play even on a 'simple' link click