I realize that recurve bows are the "next generation" after the long bow, delivering more power for length, is there an inherent accuracy improvement with the recurve or is it just power to length?
A recurve could be considered more accurate than a longbow due to the simple fact that longbows traditionally do not have sights, whereas a recurve does. It is however down to skill.
As a side note I will mention arrows as well. For a recurve I had carbon fiber arrows with a spiraled aluminum core, curved fletchings, and interchangeable weighed heads. For a longbow I used wooden arrows with feather fletchings.
It is much easier to be accurate with a recurve, solely down to better technology. Adjustable sights, engineered and adaptable arrows.
I started off using a recurve and later moved onto a longbow as a change. After a while I was just as accurate with the longbow as I was the recurve. It is all down to practice, a longbow just requires a little more.