FUE vs Bio FUE vs Direct FUE?

Follicular Unit Extraction (FUE) is a harvesting method.  Different clinics may give it a fancy name for marketing purposes.  You should worry more about the final results than how to harvest the hair.

There's nothing particularly different about them. They are all FUE and all achieve the same results, Bio FUE and Direct FUE just sound fancier to appeal to potential patients more. There are no studies or articles published about these two methods to confirm that they do anything substantially different that makes them more successful.

I would like to put it in a more straightforward way:

There are no such surgical methods in medical literature as 'Bio FUE' or 'Direct FUE'.

These are made up names of a known method (FUE) to do re-marketing in such a way that it causes the illusion in the patients mind that the clinic offering these methods are using 'newer methods'.

In fact, I would advice patients to stay away from clinics that do this, as this strategy proves that the clinic is after gaining an advantage over competitors, not by depending on their surgical skills, but by depending on their marketing skills. Obviously, the latter does no good to the patients.