Morgan, handle center isn't just a matter of preference without consequence. It has subtle affects on the bow's feel and performance. I guess if you mean it's a matter of preference on how the bow feels and performs? Yes, then it's a matter of preference. My preference is for bows well balanced from static, throughout the draw, inherently tuned, and that send arrows straight away from a specific place on the string that I intended them to shoot from, from before the very first arrow.
Why would you put the hook on the string where the arrow would be? Why not put it where your string hand fulcrum will pull from. We're balancing limb strength and that's where each limb's energy is loaded from when we draw them back.
Slimbob, with a centered handle the 'static' fulcrum is at the center. Static fulcrum meaning where the bow would balance on a peg without our influence. But what happens on such a bow the instant any pressure is applied to the string from where the archer's fingers will be while shooting? The bow immediately tips sharply in the hand because the fulcrum moves quickly away from its 'static' position, toward finding a dynamic equilibrium among the relative forces(force fulcrums created by our hands and the relative strengths of the limbs). Even if we have it tillered so it's balanced at full draw, the symmetrical bow will tip sharply initially. The farther the static fulcrum and string hand fulcrum are separated, the farther the dynamic fulcrum wants to move away from center, and the harder it is to accurately account for it in our tillering efforts.
I don't put my handle at center, and I don't put my arrow pass at center. I try to design and tiller my bows so that the bow center/static fulcrum, string hand fulcrum, and dynamic fulcrum are as close as possible to each other. The way I shoot and prefer my bow's static balance, I can get them within a fraction of an inch of each other. In asymmetrical bows I make for a three under string hold? I can place them so they're practically one and the same. Such bows are easier to balance and draw and shoot sooooo nice.
George, I've never, not once, had to flip a bow because it wasn't tuned, or because the tiller changed, so a centered handle holds no advantage for me.
I don't like it when my posts get so long. I should just listen more