How fast cooldowns can you get?

Yes if you count all 3 powers. Individual cooldowns are longer though. 

Say in ME3 you have powers that have a 4 second cool down and in Andromeda you have powers that have 12 second cool downs. You can still use 1 power every 4 seconds, the only difference is in Andromeda you can throw all three powers all at once and then wait longer or spread it out.