Bridges, neck angle and suchlike certainly don't affect the string tension when you're plucking a single string, but the break angle over the saddles and nut do affect tension to a minor degree.
The easy way to demonstrate this is to get a guitar with a tune-o-matic and stopbar bridge, do some string bending with the stopbar all the way to the body, then raise the stopbar high enough that the strings are coming across the tune-o-matic saddles almost completely straight, re-tune, and try bending again. The strings will feel significantly softer, and they likely won't ring out as long or as brightly.
People with 2015 or 2016 HP Gibson guitars, with the height-adjustable nut, can also easily test and see this same effect happening at the nut.
Essentially what you're doing is relieving downward pressure and tension across the saddle/nut, so although the break-to-break length hasn't changed, when you push/pull on the string a more significant amount, to bend it, the string isn't being tortured quite as much as when it's being bent over the saddle/nut at a more severe angle. Regular fretting doesn't bend the string much, so you continue to not notice a difference with plain notes.
Now, obviously, nobody plays with their stopbar set that high; at least I hope they don't. But it's something you can try for yourself to feel the effect of a lesser break angle. In the real world, where most people keep all their bridge parts locked down as much as possible, regardless of design, this doesn't really come into play, but it does prove the theory that a shallow angle results in less tension when bending.
To a far, far lesser extent, you should also be able to feel a slight difference between Telecasters and tune-o-matics when bending strings, too. (And assuming you're using guitars of the same scale length, and with the same strings tuned to the same pitch.) Nowhere near as much as with a fully raised stopbar, but when switching between the two, one immediately after the other, you should feel very slightly more resistance with the Tele. If you look closely at the angles the strings come over the saddles with both bridge designs, it becomes easy to see why: the average Tele has a much more severe break angle over the saddle than the average tune-o-matic.
Bear in mind, too, that thicker strings and longer scale lengths are less affected than lighter strings on shorter scale lengths. Hence people with baritone guitars with heavy strings tend to not notice much of a difference no matter what hey do to the set up or what bridge they have, while people with short scale guitars and light strings tend to be a lot more sensitive to the slightest change. This is one (of several) reason why Brian May refuses to have his frets and nut changed, or move to a less crude bridge design; the dude is rocking .009 and .008 strings on a 24" scale guitar, you couldn't raise one pickup 0.5mm without him feeling the change.
... Though as far as the 720 neck pocket goes, it's such a small change that there should be no difference in break angle over the saddles, and there's certainly no change at the nut, so you shouldn't notice a thing. Especially if you're sticking to commong scale lengths, string gauges and bridge designs and setting everything up in a normal way. the 720 pocket can look a bit nicer, with everything sitting that bit lower and more flush, but actually feeling the difference is like being the princess feeling a pea through a hundred mattresses.
