Just made a few payouts of NXTNAUT for tonight, slightly earlier today than usual:
(need some beauty sleep)
https://bitcointalk.org/index.php?topic=1182317.msg12441796#msg12441796

@newra:

Just to clarify my role here: I'm handling the escrow/transfer of old NAUT to NXTNAUT, as well as acting as a liaison between the Nautilus/Drachmae/Coinstructors teams and the Nxt community. Plus a bit of community relations here that seems to have crept in to my role somehow.......

With my escrow hat on : I won't allow any NAUT holder to get shafted on the exchange.
If you turn up with valid NAUT, even a couple of months down the line, it should be possible to redeem it.

Having said that, the NAUT network will start to die off as everyone moves to the Nxt-based coin, and at a certain moment it will become impractical/impossible to make transfers. So, yeah, hodl 'til the Drachmae exchange is fully operational, but not too much longer.