Can head be shaved after Fue hair transplant?

You should wait at least 4 weeks before shaving your head after a hair transplant.  Based on your skin type you may have visible, small white dots on the donor site.  These tiny scars are generally not visible when the head is not shaved.

Yes.  FUE is not a scarless surgery.  It does cause lots of dot scars.  What you read on the Internet is just "marketing".  This is unfortunate and misleading to patients.