if you're careful, you can get the bloom stalk to pop out at the axil, but, i assume as long as you get the actual blossom/bud off, that should be enough...
i always try and get as much of the stalk as possible - just leaves less - clutter, for lack of a better word....

Karin

I first try snapping the bloom stalk stem off at the axil too. Grasping the bloom stalk stem near the axil w tweezers makes it easier to twist it off-and if any stem is left I remove it w the tweezers
Marty