I went through his carbs completely after he did so they have been cleaned twice. He pulled the carbs and tried different jetting just to see if it would change more times then I could count and the problem stayed. To clarify, its not a normal rich bog or lean hesitation. It will literally lug for several seconds then take off hard. Again, if you unload the pump it takes off with full power. It is a 62t/62t, twin 38s, carbon reeds, lightweight flywheel, b pipe, unknown impeller. Now this info is coming from the previous owner so I can't confirm all of this stuff quite yet. He just picked the ski up recently so we just jetted to factory pipe specs and took it to the lake. My ski runs perfect with these settings so figured his would do the same. There are now a lot of things we will have to go over and check.
Update to today: We eliminated the fuel selector and swapped my carbs on the ski to start ruling things out. It was running perfect for the first couple of minutes it hit the water then it suddenly went back to lugging around. At one point it was like a light switch turning off and on.....power, no power, power, no power. I am now pretty sure it is an electrical problem. Any idea? I'm thinking coil, stator, or cdi? It supposedly has a new stator from jetmaniac and a rebuilt coil from someone (owner didn't remember). Plan is to start ruling out electrical next.