The North American (NTSC-U) version of TMBO doesn't use DNAS at all
. DNAS isn't present in any of the online PS2 games that launched alongside the Network Adapter in North America.
The European (PAL) version of TMBO uses DNAS. Since it took so long for the Network Adapter to be released in Europe, it seems that DNAS was retrofitted into the European versions of the early North American online games.
Like Silent_Scream mentioned, despite its use of DNAS, the European version of TMBO can still successfully connect to the revival server without a problem
. The DNAS screen lasts 2-3 seconds (the loading bar barely even starts to fill up), then immediately proceeds to the Terms of Use screen and works normally from there.
To see what was happening, I tried connecting to the European version of TMBO last night while analyzing packets... The game initially makes 4 tries to connect to "gate1.eu.dnas.playstation.org", but those DNS queries fail. So it's unable to connect to the European DNAS authentication server. Luckily, that doesn't matter. The game just proceeds as if nothing happened. Incognito must've implemented DNAS in such a way that if it couldn't connect to authenticate, the game would just pretend nothing happened and continue connecting to its "main" server. So European TMBO players have nothing to worry about.
In fact, it might even be faster for the European version of TMBO to connect to the revival server now that DNAS is dead. Why? Because it's not interacting with the DNAS authentication server at all anymore. I don't have anything to compare against, but when the DNAS server still existed, the game probably wasted several (if not dozens of) seconds to interact with it.