I don't want this to be too controversial but I feel like in my heart of hearts that a longbow is much better suited for fast paced (snap shooting) instinctive shooting where holding is not necessary and the recurve is better suited for GAP shooting and string walking.
I tend to agree with you on this. I have lino's (longbows in name only) that I enjoy shooting because I can hold and shoot them methodically like I can my recurves. But a real straight limbed light mass weight longbow probably shoots better with a more fluid style, which is why I stay away from them.
Shooting either one accurately requires practice in the appropriate style. I fight hand shake from holding at full draw and flinching with my recurve just like you describe from trying to do the same thing with a longbow. However, learning to overcome those things is a joy for me and gives me a feeling of accomplishment that I don't get from trying to learn to snap shoot a longbow.
I do sort of envy you guys when it comes to the speed shooting event at tournaments. I might get two or three arrows in the targets in the same time you would shoot six. But if I tried to shoot six in the same time, I would probably miss all six.
I think the bottom line is, we tend to gravitate to those activities where our natural capabilities lie, in life as well as archery.