Different molecular weights of polymers frequently require a large variation in molding parameters (mold temperature, mold pressure,etc.). Adding a plasticizer usually affects these characteristics much less.
The second reason is money. Plasticizers are usually cheaper than the polymer. You can change the characteristics of the plastic (softness for example) and lower the cost of the compound.
As for your thought about the plasticizer bleeding out. Yes, that often happens. You need to decide if plasticizer bleed is a problem in your application.
Good luck