Well, not exactly....
A solo player following the Kelly Criterion would react to losses by reducing bet size. I agree that the team has substantially the same ROR as the solo player, but only if the team follows the same procedure. Therefore, the three of you should touch base with each other a couple of times a day. If one of you has dropped a bundle, all three of you need to know about it so you can bet less.
Scheduling regular meetings facilitates the exchange of information and, when necessary, cash. It also provides the support system that's a nonmathematical benefit of team play. The wins are more fun and the losses are easier to take when they're shared this way.
A technicality: The ROR is "substantially" the same because the solo player could adjust bet sizes instantly. A team might find that, for a few hours, some of its members were overbetting the newly shrunken bankroll. The result would be a very slightly higher ROR for the team. You won't go far wrong by ignoring this factor.