People with money to burn buy O/Us in the $1300+ price-range--these are the people that shoot perfect rounds, often as not, but only because the kind of practice that it takes to be that good is also the only justification for owning a shotgun that expensive. (IMHO.) They hit the hardest, since they do not have a gas-system and are front-heavy, making them hard to keep in perfect stance. The prevailing wisdom is that these swing more gradually, and are thus better than the other, more back-heavy designs. My sensei's take on these were that unless you spend over a grand, you are likely going to end up with a gun that wears out instead of breaking in; however, he was in his 80s, so there might be reason to argue that he wasn't taking into account all the Eastern Bloc stuff now out there, such as Spartan.
Pumps are more in-line, are waaaaay cheaper (an 870 Wingmaster is $500-ish new, as is a Browning BPS, and these are pretty much top of the line), and can be honestly be cycled plenty fast, at least if we are talking about certain models. Autoloaders are faster, but it's really not an issue, according to my sensei. They are largely idiot-proof, which makes a difference if you've left some crucial part at home or what not.
Gas-action autoloaders are the most gentle of the bunch. Sensei used a Remington 1100, and while he would attest to their occasional finickiness, he used them because they were much gentler, which was my reasoning when I bought my own 1100 while in my early teens. Being new, and thus some 25 years younger than his, my 1100's action and construction were uncomfortably tight (even for a brand-new, un-broken-in gun, thankyouverymuch!); however, this eventually evened out, and I can't say that I regret my decision.
You'll find that the difference in price between the same gun of two different finish/fitness level will be as significant as the difference between two different models. I could have spent as much money on a Wingmaster pump as I did on my synthetic 1100.