In my experience, the typical plastic electric tape slips over time, while the typical cloth medical tape stays in place. I think this has to do with the fact that adhesive permeates the cloth. The thinner layer of adhesive left between adhering surfaces solidifies faster. However, I encountered also cloth electric tapes, but not recently. Also the accessory is less likely to slip over the cloth.
I tighten it down enough where there's no way it can slip.