Overload champions seem to heal as soon as I freeze them, regardless of them being stunned before I froze them, if this isn't a bug then that makes stasis useless pve wise, but again as soon as I freeze overloads they begin to heal and I can't kill them. Barriers seem to drop shield as soon as they become unfrozen but that's not that hard to stop.
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Stasis removes stun effect from unstoppables and overloads. It also prevents barriers from shielding up but will also remove the barrier it if they get frozen as they do it.