It seems to me that to put the races into MMO or RPG equivalences that the TEC are basically fighters, the Advent are mages/buffers and the Vas are rogues.
TEC get hard hitting ships with plenty of money. Some of the hardest hitting (non-tech'ed) ships around belong to this race. They are pretty straight up DPS'ers and their endgame cannon is THE thing for damage. Two shots from it and you can kiss your homeworld adios.
Advent's strength comes from ships buffing other ships. Heals, shields, Resurrection, etc. And the endgame cannon here is all about culture? What? But hey, it works, right? Two or three shots from the Advent's Love-Bomb and your people aren't gonna want to hang with you anymore. And no Advent ship gets hurt while they take over your ex-planet.
The Vas are the rogues. Stunlocks, quick transportation and getting their buddies to come mess you up. And don't forget that with three endgame cannons they can keep all of your planetary defenses useless for 9 out of 10 minutes. Buh-bye.
Am I about right here?