I now own both kinds of boats - a Mercury powered Seadoo jet and a Tige v-drive true inboard - so I can give you solid answers from personal experience.
Power: As long as you avoid the baby jetboats (the ones with a single jetski-style engine), you won't have any problem pulling up even large skiers. Any jetboat of 18+ foot length should have plenty of power. I had a ~250 pound guy behind us one day who insisted I needed to go to WOT immediately. I said no, and went a little soft the first time, but for the second run he absolutely insisted... and the force was so strong that it snapped the ski rope and darn near broke his wrist (swelled up to grapefruit size by the time he got back in the boat). His words: "I've never felt any boat pull so hard."
Fuel consumption: My jetboat averages 5 gallons per hour of actual engine operation in mixed use (wakeboarding, skiing, tubing, cruising). Basically one can of gas per hour. That means its 40 gallon tank is good for about eight hours of engine operation. My inboard is about the same, though in fairness it's at least 50% heavier and can legally carry twice as many people.
Skiing: My jetboat weighs about 3000 pounds with fuel, and it does indeed get tail-steered just a bit when I'm pulling a VERY aggressive skier who is cutting super hard. But it's really no problem, a light touch on the steering wheel easily compensates and I don't even think about it. It's like driving down the road, you automatically compensate for the slight directional variations caused by unevenness in the pavement. My inboard weighs ~4500 pounds and doesn't get tail-steered, though I'm not sure how much of that is due to weight vs. its rudder.
Maneuverability: That comment about prop boats being easier to steer at low speeds is (politely) totally wrong. NOTHING is more controllable than a jet. The ability to smoothly move the thrust reverser up/down lets you do virtually anything. I can spin our jetboat in its own length; try that with any other drive system. There's simply no contest.
Speed: Jetboat is the winner unless you're talking about a bass boat with a really big outboard engine. My jet will sustain 54 MPH. My inboard tops out at 40 MPH. If speed is important, get the jet. But remember, most people don't spend too much time at WOT. Almost all of our jet's time is spent between 20 MPH (boardsports) and 30 MPH (skiing). There's a fun factor in that top ~20 MPH but you probably won't spend much time there, so I'm not sure if that should be your deciding factor.
Maintenance: Jetdrives win, no question about it. Cheaper, simpler, easier to work on, the list goes on and on.
Noise: Varies greatly depending upon engine type. I've found the Rotax engines (especially the 2-strokes) to be the noisiest, and they really ARE noisy. I'd put my Mercury jetdrive about equal to a typical I/O; you can carry on a conversation at WOT but you'll raise your voice a little. My inboard's PCM V8 engine is whisper quiet; I've honestly forgotten the engine was idling a couple of times, and even at WOT it's far quieter than anything else.
Bottom line: Each category has its advantages (except perhaps I/O's, I truly don't know why someone would PREFER an I/O since it seems to have all of the disadvantages of every other drive type) and disadvantages. They can all pull skiers, tubes, boards, etc. If speed is paramount, go jet. If boarding is tops, get a v-drive. If skiing is all you'll ever do, get a direct drive inboard. And so forth.
Hope this helps!