Don't think I agree with the motor not caring about the VSD/VFD drive. If motors are not rated for variable speed use, there can be issues with electrical noise in the windings. May likely affect temperature rise. Possibility for stray currents to run through the shaft bearings that may affect desired motor construction (bearing insulation/isolation.)
A lot of modern motors are acceptable for VFD use provided the service factor is reduced from 1.15 to 1.0. If you only have a 1.0 SF at constant speed and you are exceeding nameplate hp, and/or if you plan to overspeed with the VFD, you should take a closer look at things.
Assuming all above is addressed in terms of compatibility, you then need to review operating scenarios. If you want to turn down to 30% speed, does the pump still have enough downthrust to prevent the motor thrust bearing from skidding? If the motor has non-reverse ratchet, is it going to engage if speed is too low? If you overspeed, is the pump designed for this: increased NPSHr, increased fluid velocity, increased impeller vane tip speed, etc. How will the mechanical seal behave?
You can try to save some utility costs and roll the dice with maintenance issues (which might be just fine for the owner) but to really review this completely is quite an exercise. The bigger the machine, the higher the risk. You decide if it is worth checking it all out.