The break angle has to matter (IMHO). As good as that explanation from Dr. Kev was (it was very good) it wasn’t quite 100% complete. The relative angles and positions of the strings, “string to bridge” contact height relative to “bridge to post” contact height. As the bridge dips into the guitar the “string to bridge” contact point gets further from the bridge pivot point and thus changes the relative angle that the strings pull with. Think vectors and how a force has a horizontal and vertical component.
Imagine having a 5’ long piece of twine tied to a stake. The twine is laying on the ground and there is a 2’ long board laying on it. So, there is 3’ hanging free. You pick up the free end of twine and pull it back, horizontal, towards the stake and the board doesn’t raise up. Now imagine holding the free end so that the 3’ of twine is 45°, now pull the twine along the 45° line until the board raises 6 inches. Some force goes into the stake and some goes into raising the board. Now hold the string so it is 90° and pull up vertical and the board raises six inches. This requires less force than when the string is 45° because all the force goes into raising the board, none goes into pressing the board against the stake.
So, back to the bridge…. When you bend the string and the bridge pivots, some of the force of the string bend pivots the bridge and some of the bending force pushes the bridge into the posts. So, now, adjust the claw away from the bridge (tighten the claw screws) and the bridge moves into the guitar body. Now when bending a string more of that string force pushes the bridge into the post (increasing contact pressure between bridge and post but not actually moving anything dynamically) and less of the force goes into pivoting the bridge. Therefore the sting bends “easier”.
Conversely, if the claw screws are loosened and the bridge is now sticking out of the body and now you bend a string, more of the bending force will pivot the bridge so you really need to bend a lot to get to that desired pitch (because the bridge pivots easier, and doesn’t just get pressed into the posts as much).
Not sure the above is 100% correct but as an engineer, it just seems to me like the string break angle has to make a difference for how easily the bridge can be made to pivot on the posts (horizontal and vertical force vectors will change, even if overall force vector is the same).
Gosh, this topic would make a good physics exam question.
