Why? They're going to pay more than their fair share of that overhaul on most rentals.
The owner of the rental will pocket the difference (well, really he'll fly it off at a reduced rate for himself).
There's no such thing as a free lunch.
Let's assume that it's a $150/hr rental, and we'll assume no inflation to make the math easy, and remember that all costs will go up.
$150/hr * 300 hrs = $45,000
And that's all you pay.
Insurance: $1,000/yr for 30 years = $30,000
Hangar: $100/month * 12 months/year * 30 years = $36,000
Annual: $1,000/yr for 30 years = $30,000
Already, you've laid out $96,000 before you've even burned a drop of fuel. Even if you cut all those numbers in half for a cheap tie-down, do your own annual, and don't get hull insurance, now you're still at $48,000 before you've burned any fuel.
Alright, let's say that you've got a free place to park it because the airport manager looked at your wife longingly at that Christmas party and you said "Give me a free place to park my plane or I'll tell YOUR wife," and his wife's good with a .45 Glock. You don't mess around with annuals because who's going to check anyway, and why waste the money on insurance? If you crash, you're going to die, and you don't think anything will happen to the plane.
Assuming that you don't get hail damage, your plane stolen (or set on fire by the airport manager), or crash it, you will still have to pay for oil changes, which will end up running you about $100/year just for oil and a filter. You probably aren't stealing the fuel, so that's still going to be $60/hr these days for a 172. And things WILL break that you will have to fix.
$3,000 + $18,000 = $21,000. $24,000 worth of stuff to break is pretty easy to do over 30 years. Especially when the airport manager then busts your window and steals your radios every year to pay for the fact that you've got him over a barrel.
Now you've got depreciation. You buy the plane for however much, you had to put an engine in it (at least, we're assuming you put one in), and then you flew it for 30 years before it quit. Now you have to put in ANOTHER engine. With the rental, the engine was in there, if the plane got stolen it was insured, and if you didn't like it, you could just go rent a different plane.
Obviously, there's some room for differences there. If you bought a FlyBaby for $10k, it can't depreciate much. Fuel is 4 GPH @ ~$3.50/gallon for MoGas, so let's say $4,000 for fuel. I don't know what insurance is, but it's cheap, and at that point you may be able to do it for not much more money than renting. Plus it's a fun plane. But what I see more often are people who buy 172s through Bonanzas, and the things just rot.