You CAN use any kite on a wave but some will make it much easier and let you do things not possible on a boosting kite.
The Park has fat wing tips like a wave kite so probably drifts well and freestyle kites sit further back in window like a wave kite. A Pivot or an Evo will work good but they limit you.
Wave kites have short bar throw so going from slack outside lines to a steering input is quick and instant. A depowered Orbit with slack lines, then try to steer it......probably not much will happen for a while, you’ll be reaching for the leader. That situation would suck with a big wave behind you. The ability to loop or down loop without getting a huge yank is huge.
Shoot down the face of a wave toward the Orbit and it will Hindenburg. With a wave kite you have time to make a turn, tighten up the lines and keep going... wave kites will just hang and slowly fall without tipping over. It just frees up more options in how you want to surf the wave.
Instant relaunch between waves can save your bacon also. A kite that will reverse launch, then let go of one line, and the kite is over your head before the next wave gets you. If you have to wait for a face down kite to move to the edge of the window to relaunch, not ideal for waves.
OneEye is a strange beast. Not an expert on the wave but is seems really fast and i missed a few that just rolled under me and I couldn’t make the drop. That's usually when the wind direction is more offshore. As you are coming in you have to be carful not to fall off down wind. If you do fall off a little you are actually positioning to an earlier phase of the wave by how the reef bends. So as you fall off you are essentially going out further... On those very off shore days it can be impossible to pull off the wave to the inside, you have to go over the top or through it. So if that section is going to close, get off. Not a great feeling if its big and you are inside of it
. Ask me how i know. Never had a problem getting back to the line on the Reo at OneEye and they don't go upwind well. Only maybe 2 tacks to get back to channel.
When you go from riding wave kites to all around kites on waves, you realize the massive difference. You just cant do things your accustomed to doing normally. Its very frustrating. Making the opposite transition you don't notice the difference as much because you haven’t yet realized the wave kites capabilities. Except for hang time. Wave kites jump ok but you come down fast. And we are back to your and my conundrum.
If you are only riding typical shitty waves then all around kites make sense. But if you’re spending money to travel to wave spots then use wave kites to get the most out of it. Even just 2 wave kites would do it. 7,9 or 8,10. When wind is stronger than that wave riding in most places isn't great.