They aren't BOVs as much as they are "over boost protectors" or fun limiters, whichever you prefer
The open up around 12??? psi and bleed off your precious boost.
A NA pump can put out the same amount of fuel as a TD pump (I think) The difference is that with a NA pump turned up for 20 psi when you put your foot to the floor it will be giving you 20 psi worth of fuel which will be smokey and hot. Now if you have a TD pump properly turned up for 20 psi when you put your foot down it will only give you as much fuel as you need (plus or minus a bit). As the boost builds the LDA tells the pump that it is ok to inject more fuel so it does, as long as your foot is still down. This is all done mechanically.
You could drive the 20 psi NA pump with no smoke but rather then having the LDA limit the fueling you would have to do it with your right foot.