It might be, I do not know. I also admit I do not understand much about BTA's because, well, they seem to have a mind of their own. Mine are rose. Started with 1 over 6 years ago. It split and two in a 29 gallon biocube is a bit much. I moved one of them into another. The original split again. Grr! So I consolidated both of the cubes into a 40 breeder. More splits over the years even after giving some away. Last year I upgraded to a 210 gallon mainly due to the BTA's needing space and I'm back up to 11. Really odd creatures.
I do not own a refugium although I've toyed with adding one for my Kenya tree clippings and also growing some algae that my tang likes. I don't know the impact it would have on exports but it does seem like it helps. I've heard some people treat it like exporting cubes of frozen food. At least that is what I read when people talk about turf scrubbers.
The way I see it, it doesn't hurt to try. Depending on the pump, and owning a BTA I'm sure you already know, just be careful on how you run the intakes for the return. If it is a non powered overflow then just make it is like a bean animal primary, secondary, emergency design in case one plugs up one of the overflows.