Braking is only for emergencies. [if one is truly interested in fuel economy.]
My studded tires seem to have the studs wear well with the tread and I have never experienced what you describe.
Specific conditions vary.
Back in he 50s, Dad had 2 sets of tires, in the NW suburbs of Chicago: non-studded bias-ply, and studded. I remember several times we slid on the concrete roads during warm, sunny winter weeks. First times I heard him say “shit” and “damn”. He got rid of the studded tires and had regular snow tires ut on for the winter months; taking them off in late May.