If it were me, I'd leave the starter there, but wire around it directly to the fused disconnect to use it as a feeder direct to the VFD. It's not good to have a contactor / starter opening and closing in the VFD circuit. If you have to have one, the line side is better than the load side, but it's better yet to not have it at all. But I'd leave the starter in there for when you want to service the VFD, so all you have to do is move the wires over.
We are routinely required to fit a contactor with VFDs. And usually on the load side.
It's a safety matter. If someone hits the emergency stop, then there is a requirement for a physical disconnect between the supply and motor.
It isn't a mandatory regulation to comply with legal requirements (AFAIK) but customers write it in to their specifications.
If you want the job, you provide, as far as is reasonably practicable, a spec compliant bid.
Technically, it's not a big issue. An early break contact shuts off the inverter and the contactor does not break current.
And, even if it did, any transient overvoltage would be quenched by the IGBT inverse diodes stuffing it into the DC bucket.
This, typically what we do.
Real drawing from a real project.