Can growing transplanted hairs be susceptible and succumb to the minoxidil sheds?

The Minoxidil should be used as a preventative treatment and will most likely not improve your current density. It may help to preserve some of the original (native ) hair but would need to be continued indefinitely. If you choose to stop using medication your situation would revert back to a point as if you never used it.

Even the donor area thins over time.  Evidence of loss in the donor area is a high percentage of resting telogen hair.  Resting hair from the donor area can be shifted into the growing phase by minoxidil, so it can shed.