The twitter account in question isn't retweeting the URLs.
There is no automated bot in play here.
All this guy did was create a "Twitter List" of the ~40 official Twitter Accounts used by the NYTimes (they seem to have one per section of their site)
https://twitter.com/#!/FreeNYT/firehose/members
You would get access to the same URLs if you followed each of those ~40 individual twitter accounts directly.
Essentially the NYT is complaining that someone is promoting the existence of their twitter accounts.
If a random blogger is going to submission spam slashdot with all of his two paragraph blogs plagiarizing news articles, the least he could do is actually LINK to some genuinely useful coverage of the story on a reputable sites...
I don't like star trek, i haven't seen most of hte movies, and even i kow that the proper way to have started that summary should have been:
"Have you always wished that you could hear your favorite Christmas classics in the original Klingon?"
Bruno Borges said it the most succinctly...
"There is no point helping to write specifications that you aren't allowed to implement"
http://twitter.com/#!/brunoborges/status/13058930657730560
And Brian McCallister explained the full ramifications most clearly...
The means-and-ends moralists, or non-doers, always end up on their ends without any means. -- Saul Alinsky