[@Sync]

As far as I can tell that's the case. This is also based on KoL's statement:

[quote=@KoL]
[b]You can choose who will be the captain of the students' part of the teams[/b] and assign team names if you are feeling specially inspired.

In fact, it would be very appreciated if you did so.
[/quote]

[@Cerces22]

They won't have a choice if the other two decline like Lumen.