Finasteride after a hair transplant

The clinics told me that your transplanted hairs are not sensitive to DHT, but I hear everyone here many people saying that these hairs can also fall out, is this correct?

Transplanted hairs from the donor area are protected against DHT and balding; however, your native hair is not and if you have any miniautirzed hairs in your head, they will fall out unless you are on finasteride.  In addition, your pattern of balding will advance, so finasteride slows that down.