There is no tactical advantage to strafe jumping in tremulous. Bother with aim, timing and predictive analytics since they are of far greater consequence.
It does help. Might not help a lot but it does give aliens a quicker speed.
Grangers/Adv Granger: The humans are attacking your base and you need to escape to build somewhere else. So you strafe jump to get away quicker.
Dretches: Just for overall speed, way faster than normal bunny hopping.
Marauder/Adv Marauder: I don't know how many times I've escaped as a Marauder because of strafe jumping, way faster than normal jumping.
Tyrant: If you're good enough at strafe jumping you can find that it is almost as good as charging, if not better.
Pretty bad showing of the strafe jumping's usefullness but like I already said. It helps with speed on aliens.
-And on humans, sometimes I escape Tyrants by strafe jumping to get back to my base faster.