As Freeman said, there are two things to think about here, the break angle of the strings over the saddle, and the overstand; the height of the neck above the top. They're related, of course. What you seem to be objecting to is the high overstand?
If you think of the strings as being an extension of the neck, you'll see that the whole business can rotate around the point at the top of the bridge. In the limit the end of the neck can be flush with the edge: zero overstand. Reducing the overstand actually increases the break angle, all else equal. Adjusting that is a matter of how you cut the neck pocket.
As rlrthett said, I did a rather involved experiment some years back looking at the relative effects of break angle and string height off the top in the sound of a Classical guitar. The conclusions would generalize pretty to steel string flat tops, but are less applicable in general to arch tops. However, the stuff about the minimal break angle certainly holds.
In my experiment, I used a mechanical 'plucker' to activate the strings. It always plucked them with the same force (within about 2%) at the same location and made the string vibrate 'vertically' with respect to the soundboard plane. The strings traveled 'up and down', with no 'crosswise' component. In that circumstance, a break angle of six degrees was 'enough'. What defines 'enough' is the fact that the string vibration stops at the top of the saddle. If you don't get enough break angle the strings can hop off the top of the saddle when they're pulling upward. If this happens more than minimally (one hop right at the start, say), you'll know it.
Real strings get pulled aside as they're plucked, and they can be dragged across the top of the saddle, or simply roll sideways. On a flat top you need more break angle to prevent this, but most archtops, in fact, notch the saddle specifically to prevent this. Thus an archtop can get away with something pretty close to six degrees of break (174 degrees on Freeman's digital protractor) without problems. On a flat top I suspect that you need closer to 12-15 degrees.
Again, the thing to keep in mind is that more than 'enough' break angle won't increase the output of the guitar. As long as the string stays in contact with the top of the saddle throughout it's whole vibration cycle without moving all of the energy that becomes sound will be transmitted to the top. In my experiment increasing the break angle from 6 degrees to 25 degrees didn't have any effect on the sound. Nobody could hear any difference in 'blind' comparisons of recordings of the sound made in very carefully controlled conditions, and there was no change in the amplitude or duration of the recorded plucks.
More break angle does increase the download on the top, which is a bad thing in general on arch top guitars. Since arch top generally don't use sound posts like violins do the 'cold creep' of the wood in the top can eventually allow it to sink quite a bit. There are ways to mitigate this with adjustments in the arch shape, particularly in the recurve area, and the graduations, but none of that will completely solve the issue. Minimizing the down force at least postpones any problems.
As to sound: at one point, years ago I did an experiment on that too. I had made an archtop with a 'hook' tailpiece: sort of an 'L' shape, where the short arm hooked over the end of the guitar and the strings attached at the top. The line of pull of the strings goes from the attachment point to the pivot point down at the bottom end of the 'L', so the strings can effectively go 'through' the top if the pivot is well below the edge, and produce a high break angle. The idea, of course, was to get more down force and thus more sound. It didn't work like that. Instead what I found was that when I moved the pivot point too far down the sound just died. This was quite reproducible; at a certain point the power, sustain, and clarity of the sound went away, if memory serves (it was some time back). At the time, before computers with sound cards, there was no way I could actually document what was happening, and, of course, I've learned some things since. I can't give you any objective data to back that up, and any model I could propose would be conjecture.
At any rate, since then I've been looking for ways to reduce the break angle on my archtops. I note that in his book, Benedetto shows about a six degree break. If it's good enough for him...
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