Yes, that's essentially right. See http://www.patents.com/nylj6.sht and
http://www.patents.com/pubs/nw1.sht .
And indeed even if you were able to prove to NSI that you weren't infringing
that trademark, it would be no defense. Your domain name gets cut off in 30
days.
But then read the policy even more closely, and you will see that actually
the dates don't matter. Even if the trademark (from anywhere in the world)
is *newer* than your domain name, you still lose the domain name.
Interestingly, the time period is shorter: 14 days. Here's how it works,
according to the NSI policy. The trademark owner (TMO) sends the trademark
certificate to NSI. Then NSI sends you an "indemnification agreement" (see
<http://www.patents.com/fogbelt/ia.sht>) to sign, stating that if you don't
sign it within 14 days NSI will cut off your domain name. You show it to
your lawyer, your lawyer says "you can't sign this!". 14 days later, your
service (and that of others dependent on the domain name) is forceably
interrupted.