The calculated GS mini will increase, but with a gust the thrust usually does not increase as the gust will be the cause of an increased speed anyway. Once the gust is over the GS mini target will decrease, as will the indicated airspeed. Now, as always, things are not perfect, so there will be some play on thrust, but actually not all that much.
It helps to fly a few approaches in gusty weather using GS mini on manual thrust. It is surprising how little thrust changes there are.