I think there's a lot of misunderstanding going on in this thread regarding what a "snap on" case back is, and what it's capable of. First, press fitted case backs come in many different designs, from cheap flimsy case backs with no seals, to case backs with nitrile O-rings, to sturdy case backs with rigid plastic gaskets. All of these are very different in quality and capabilities.
In terms of damage to the case back, in my experience there's no difference in the amount of damaged case backs I see between the two styles. Damaged case backs don't happen because of the design, but because of the lack of proper tools and techniques by whoever opens them.
Opening a pressure fitted case back is no more difficult than opening a screw on case back, if you know what you are doing and are properly equipped. Where people get into trouble is trying to use improper equipment and methods, such as using a tool the "pry" off a pressure fitted case back. You should never pry - use the tools you have as a wedge, open up a gap all the way around the case back, and if the case back doesn't lift off, switch to a thicker tool to use as a wedge to open up that gap more. You need a range of tools to do this on different case backs, starting with a single edged razor blade to get into very tight seams, and going up in thickness from there.
Installing them is also just as easily done, with the right press and dies. Again people get into trouble trying to improvise some home made solution using a bench vise or something similar. That's when people show up with the watch parts in a bag and ask me to fix it. Note that I charge extra if you bring me the watch in pieces in a bag.
Here's some examples...vintage case back where the O-ring goes inside it, and then the case back snaps in place:
These work when the sealing surfaces are in good condition, but are not capable of high water resistance ratings generally.
People who claim that they "don't work as well" do miss a key point though, and I'll illustrate that with this design:
This is a press fitted case back that uses a hard plastic gasket. When the case back is pressed in place using a press, that gasket is compressed and provides a very strong and tight seal. People may think "But it only presses in place, how good can that be?" Well, this is the exact same way that the crystals of a typical dive watch are held in place. A hard plastic seal that holds the crystal in place by compression, so if it can work for a crystal in a dive watch rated for 300 m, 600 m, or more, it can also work for a case back...
Just like pressing the case back in, it requires a heavy press with good dies, and the forces required to press these in are substantial:
I would argue that a press fitted case back of this style, with a hard plastic gasket is actually far more consistent with how it compresses the gasket than a screws down case back that can be under or overtightened. In the case of a press fitted case back like this, there is no guesswork - you mount it, press it until it seats, and the design takes care of the rest. No need for torque specs like there are for screw on case backs.
As is often the case on watch forums, people tend to project there own preferences into arguments for or against certain designs, but if looked at purely from a technical standpoint, these are as effective as other designs clearly.
If anyone needs tips on how to open or close these beyond what I've already talked about, let me know and I'll do my best to assist.
Cheers, Al