IMO, there are four basic stickbow types - recurve, hybrid longbow, stealth longbow and straight/reflex longbow.
Y'all know what a recurve is, right? :cool:
The hybrids can have mild to very aggressive r/d limbs and although the string won't touch the limb tips, they have a snakey tip braced look that's closer to recurve than longbow. Y'all have seen a glut of these puppies and they're the most prolific of all "longbows" these dayze.
Stealth longbows can have mild to very aggressive r/d limbs but when braced these bows form a classic "D" limb shape. Examples are the 21st Century Edge and Horne 62" longbows.
Straight/reflex longbows are all in the Hill style, with straight or slightly reflexed limbs that form a classic "D" shape when braced.
But heck, IMHO, as long as only the string loops touch the limb tips I'll call it a "longbow". YMMV.