Your hiss has nothing to do with transformers. I doubt the speakers have any, and almost certainly use switching power supplies.
The problem is in the inter stage gain design settings, or may be they have just used very cheap op amps.
Active speakers do not need to hiss like that and should not. They should have redesigned it and upped the price if they had to.
When designing active speakers you need amps with excellent signal to noise ratio, as the driver is directly connected to the amp.
One more mistake is to fail to realize that the hiss will be reinforced by the break up modes of the drivers. In a passive speaker, the crossover attenuates the hiss from the amp. With active designs, then the break up modes will reinforce amp noise. I always deal with this in my active speakers with specific filters. I do this in my monitors. Even with a very good amp and excellent signal to noise, you will hear hiss like you describe without designing it out.
This should have been taken care of.
Yet another reason to DIY.
I'm always so glad I don't have to buy commercial speakers!