It really isn't a missile, it uses a propeller to sustain flight.
> a flying weapon that has its own engine and can travel a long distance before exploding at the place at which it has been aimed.
You can still do it by saying e.g. "low cost cruise missile".
> they have totally different operational uses and characteristics.
Such as? Shaheds are used for similar goals as e.g. Tomahawks missiles.
I think a problem with insisting on this dichotomy is that we will see more in-between missiles - e.g. Shahed 238 is a development of Shared 136 with a jet engine. Is it a drone or a missile and why?
Furthermore word missile is often used in history for arrows, spears and stones exchange during battle.
So technically it could be considered a missile.