There is a difference between "long hair FUE" and a "no shave or non-shaven FUE" procedure.
A long hair FUE procedure is one where no hair is trimmed, and you transplant grafts with long hair. In this procedure, you get to preview what you would look like assuming that all grafts grow, but the hair that is transplanted will fall out between 1 to 3 weeks after your procedure. The long hair gets in your way during transplantation and limits the density you can get with a procedure. Otavio Boaventura and Koray Erdogan offer this. I did it long before they did, but I did not see any advantage to the process, so I did not pursue it. I also filed a patent on the punch design necessary to do this around 2005.
A no shave or non-shaven FUE procedure involves trimming only the hair you will move. You do not need to shave your head. This process allows for a higher density in the recipient area, and you can return to work the next day looking like you did before the procedure.
The one thing you need to do for the no shave technique is to have the hair in your donor area at least 1.5 to 2 inches long to conceal the extraction sites. I once had a patient book for a no shave procedure, and he came in with his hair less than 1/2 inch long. The trimming we needed to do allowed the scabs in the donor area to be evident following the procedure. After a week, he was all right, but the problem was that he did not have his hair long enough. You need to keep the hair at least 1.5 inches long to avoid a transparent look immediately post op. We can work with the hair longer than 2 inches, but I would prefer that the hair is no more than 3 inches long.
I can post some photos if you like. Let me know if I fully answered your question. Oh, I'm not sure if Dr. Erdogan offers a no shave FUE. He is marketing a long hair FUE procedure. Again, I don't clearly see the advantage of this long hair procedure because the hair is going to fall out anyway and the density you can achieve with the long hair FUE procedure is lower.
I don't know Dr. Akaki so I can't comment on his process.
If you do not want to shave your head, the no shave process is the way to go in my opinion. The no shave FUE process is one with excellent results and a long history of success. The long hair FUE procedure is brand new and offers not long term advantages. However, there are disadvantages to transplanting long hair including a greater risk that you might accidentally pull out a graft, a lower density, a sudden change in appearance, and a higher follicle transection rate. After 2 or 3 weeks you are going to have another sudden change in appearance when the hair falls out of the grafts. Transplants on the other hand gradually grow in offering a subtle change in appearance.
Yes, I called this C2G when I developed the process. Traditionally, I have charged 10 per graft for this, but I always offer discounts for those in need of price adjustments. Generally, I keep many dates open each month just for patients who need financial consideration.