Normally a repair of this type would be performed utilizing a WPS that has been qualified and tested to assure the desired results are obtained.
My experience is limited to reapairs of cracked steam drum ligaments. I performed the PQR and also.performed the repair welds. Heat input was maintained at a fairly consistent level by close monitoring of preheat/interpass and energy input.
This does NOT mean what you speak of is not worth looking into. The repairs I performed were "half bead" temper techniques in which the every layer that was deposited on the bevels was partially removed by grinding prior to depositing the next layer.
I strongly suggest reviewing the WPS and if one does not exist, qualifying one using the parameters you are to use and obtaining suitible mechanical test results (Tensile, Hardness,impacts, and bends).
Understand that I am by no means an expert and I strongly suggest you contact a welding engineer.
These repaies are not to be taken lightly.
Gerald Austin