Nomenclature is always a part of this discussion. What you're calling a longbow with a recurve style grip, really isn't a longbow. It's a hybrid, with relatively short, wide, radically reflexed/deflexed limbs that behave more like recurve limbs than longbow limbs. Pair the pistol grip and more substantial/heavier riser needed to accommodate it with the heavily reflex/deflex limbs (and almost always shorter and wider limbs vis-a-vis an ASL long bow, for example), and you have a bow that's much closer to a recurve than a longbow and shoots similarly. They typically range from 56-60 inches in length
A Hill style longbow, on the other hand, has a small riser and straight grip and narrower usually straight or slightly set back or string follow limbs. Typical length is 66-70 inches. Most mild r/d longbows still maintain relatively small risers and a fair amount of limb length. They typically range from 62-66 inches in length.
The greater riser and limb mass of the recurves/hybrids makes them easier to hold on target. They're also higher performance than an ASL/Hill style bow. Those two features primarily account for their higher scores on the range. However, there are always trade-offs. They're heavier to carry in the woods, and for me and a lot of other folks, they're not as quick to put into action, nor do they point as well/get on target as fast as an ASL. I much prefer an ASL for hunting, particularly moving small game.
Putting a big recurve grip on an ASL would ruin it's nimbleness and shooting characteristics. I've seen a few examples of those, usually home made versions. It's never caught on commercially. Though beauty is in the eye of the beholder, such concoctions are ugly in my view.
All this being said, the Timberpoint bow probably comes closest to the idea you envision. It's a hybrid in my view, with fairly radical r/d limbs, but it does tend to have longer limbs, and, of course, a large pistol grip riser. It's making waves in target shooting circles in this country and others.
Luckily, we don't have to choose one or the other. I shoot recurves, hybrids, longbows and self bows, matching them to where and what i'm hunting and how I feel the particular day.