Can grafted follicles acquire properties/sensitivity to DHT and fall out?

What makes a hair transplant a permanent solution, is that the hair follicles to be transplanted, are extracted from the areas of the head that are genetically resistant to balding-i.e. hair follicle cells that are not susceptible to the effects of DHT- which is called the ‘safe donor area’. ‘Safe donor area’ defines an area in which no progression of permanent hair loss occurs.
The primary source of donor hair that is used in hair transplantation is located at the sides and the back of the head, a few inches above the nape of the neck.  
Since the transplanted scalp tissue was producing healthy hairs in an area that could no longer grow hair, the physical traits of hair follicles from the donor zone were dominant over the physical traits of the original scalp tissue. This implies that when hair follicles are extracted from these regions and transplanted to the areas that need coverage, they will be showing the same bald-resistant traits and will therefore remain intact and not fall-out.
 

 

Donor dominance! This is a phenomenon that makes the transplanted hair from the donor keep the same characteristics of the donor hair.  These are considered permanent hair and are resistant to DHT.

If harvested properly, grated hair follicles should be DHT resistant.  I'm not sure exactly what you read, though all hair follicles grow through a life cycle; they grow for several years, then shed their hair and go dormant for 3-4 months.  They then wake up and start growing again.  

Transplanted hair will behave in the same manner as the donor area. In almost all cases, back and side hair are considered permanent and are not affected by DHT. however, if the selection of grafts is not done correctly from permanent area or your back/side hair are also thinning, your transplanted area can be affected too.
yes, transplanted hair do fall due to regular hair cycle which is normal and will come back. It's normal to have shedding of 0.1% of your hair everyday whether transplanted or non-transplanted which comes back naturally.

hair transplant grafts are resistant to the effects of DHT because they come from the back and sides of the head