@bradenday I'll give you my best sales pitch here. Shoot, apparently @Such_a_brett is going to need to start throwing some commissions my way here pretty soon.
1. If you are going more than once a week on a new wakesetter, $7k per year is likely not fully enough and you have probably left out some costs in there.
2. If I lived at a place like this, I can't imagine that Lake Powell and Bear Lake would have much draw left for me. Bear Lake is just lame in the first place, that place was never all that attractive. Lake Powell, though, for me was heaven as a kid, and I still think there is something valuable for the kids there. But for me personally, I would MUCH prefer to just ski 5 days in a row at Utah Lake on the perfect glass that I get there instead of go and fight the wind, the tubers, the gigantic storms, the poop dock, the 6 hour drive, the quagga mussels, and the flat tire on the way down there just so that I can try to wake up at 5:30 am after sleeping on some ghetto little camping pad in a sleeping bag to get an hour or two worth of decent water in the morning before normal people wake up. And if you really want to go, you find which of your kids have friends with boats. Then you work out a deal with them where their family comes as your guests to your "country club" throughout the summer and then they invite your family to Powell when they go.
3. Your hectic family schedule is why it is SOO much easier for you to schedule your family on a couple sessions out the back door with whatever kids happen to be available at the time than it is for you to look for that time that's just right, pack up the whole family, drive out to the lake, drive back, wipe down the boat, unload all the stuff. I think a hectic family schedule is an argument FOR this model, not against it.
4. Getting blown off on Friday. Wind apps are getting pretty good, and getting blown off is a much smaller problem on small private lakes like this than it is on big public lakes. The type of wind needed to "blow you off" this lake will be EASILY predictable by even basic weather apps 24-48 hours in advance. It does beg the question for @Such_a_brett though: What would the cancellation policy look like? A few different ways you could go there each with its own set of ups and downs.
5. Schedule is packed on saturday: I think most the comments on here about demand far outpacing the supply will prove to be completely overblown. Remember how hectic your schedule is? Everybody else is just like you. With that being said, certainly Saturdays will be the most crowded, but honestly, outside of private lakes, are there really even any lakes in Utah worth going to on a Saturday? I'll take my chances on a crowded Saturday schedule at this private lake any day over a crowded public lake on a saturday.
I'm sure you aren't just like me, so probably at least some of these won't apply to you. But again, for me, it's a no-brainer, except for that whole living in Logan part.