What Bob said.
But you will need to provide 3-phase overload protection. This is why these small soft starts are often used in conjunction with a 3-phase manual starter.
I sold SSRV controllers that only had (2) SCR's. Only two of the motor leads were run to these controllers, so there is no way these could provide three phase OL protection.The OL protection is integral to the SSRV on most models and it is in all three phases, even though only two phases are 'controlled'.
I don't think 15HP can be considered small.