Hi and welcome!
I have on occasion left boosters snapped in. The reason for unsnapping I think is more to do with them getting caught up and ripping the snaps off.
With the boosters in your fitteds you can always try without. In those first couple of weeks you are feeding so often and hence changing so often so the nappy doesnt need to be super absorbant. You can always just try and see what works for your bub. I didnt like bulky nappies on my newborn either