I also tried 5 NYT links. All had a very consistent 5 second delay through wget.
I could do more, but I don't care to. Everyone knows Elon has gone redpill, so it wouldn't surprise me if he's "owning the libs", but there also could be a dozen other reasons Twitter might do something like this (including plenty that are not nefarious). I just don't care to dig more...
Edit: I suppose I could have given the specific URLs, but I don't know if/how much t.co links leak info, so I'm not keen to do that. But the delay is absolutely on t.co and not the destination sites, at least as far as external users are concerned. It's possible that t.co queries the sites first before redirecting, and if e.g. the NYT is throttling their traffic that's what's delaying things. I don't know how to disambiguate that, but it's definitely a theory worth considering...
Incompetence before malice, etc...
If you use wget, you see that the delay happens during the first hop with t.co
It also happens with threads.net, instagram, facebook, blueskyweb.xyz
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