Toubob, engine #2 directly pressurises the yellow hydraulics for the alternate brakes/parking brake on the 319/320/321.
But as you say on the 330 #1 powers blue hydraulics and alternate brakes/parking brake.
We start #2 first on the 320's but #1 on the 330's.
We always shut down #1 and then #2 on our 320/321/330's, the time interval on shut down being negligible and the parking accumulator should after flight be fully charged!