Yes... and no.
Tankodesantniki from Fortress Europe act as described in the rule book. But Red Bear and Grey Wolf make some changes that are ONLY applicable to the tankos and begleits in those two books. In those two books, they're no longer teams, but are instead act more like an additional attribute for the tank.
The changes aren't really an issue until you run into a list from the new books that uses them, however.
Edit -
they have to stay on the tanks at all time
Actually, no they don't. Some of the descriptive text suggests that they're supposed to, but the rules don't require it. And plenty of people hop them off of their tanks.