Laurent, odds are that the paste will seal the exposed
wood to protect it and at the same time allow the sap to form the scab needed to let the tree heal, winner situation there.
I have used a paste formula from an older English gentleman with good success in the past, his formulation did as I described above. There are only problems when you apply something that stops the natural scar healing process such as a tar based product.
Trees have marvelous healing mechanisms, the sap forms a seal then the bark grows back together, much as our own skin heals a cut.
Issues usually arise from insects getting to the exposed inner wood while the scabbing process is incomplete.
Redhawk