Does hair growing immediately after a hair transplant mean that the transplant succeeded?

Since they kept on growing for a month after the hair transplant, before the shedding period started, that should mean the grafts survived well, doesn’t it?  If it is this way, then I know I have nothing to worry about, but I can’t seem to find any information to confirm this.

The normal state for grafts is that they appear to grow immediately after a hair transplant but are not actually growing because what looks like growth is really the body pushing out the hair from the grafts to their full length, usually between 5-8 mm plus the length of the hair above the skin at the time it was taken.  So the apparent length depends  on how long the surgeon kept your hair length when he did the FUE. After they shed, they restart growth in sometime between 2-4 months after the shed.