OK:
While that’s an interesting propsition, basically, the size (volume) and construction of current submarines prohibit that as a design feature.
The S-5 was a special case: She was in very shallow water (for a submarine). As aft tanks were blown, the angle of the boat allowed water to drain forwad, and eventually the stern poked clear of the water. This was a desperate and ultimately successful gamble. In any greater depth, they’d have been screwed.
As the angle of the hull increasese to rise through a greater depth of water, you lose lifting capacity in the MBTs. They have vents on the bottom, “Free-Flood” ports that allow the water to escape or enter. As the angle of the boat rises sufficiently, the volume of air in the tank, combined with the angle in the boat will expose those ports, and you’re no longer blowing air into the tanks, you’re blowing it out into the ocean. That physical construction limits the angle you can achieve.
The other limiting factors are how much water there is in the boat, and where is it? If it’s all at one end or the other, and not too much, you’ll be able to reach the extreme angle as limited by MBT geometry & air available. More water, or more evenly-distributed water, and your angle goes down. This is not the sort of issue one can predict with much assurance, so designing a boat to stand on its nose to act as its own rescue ladder isn’t really practicable.
Contrary-wise, if the S-5 had possesed more modern escape aids, the depth in which she sank would’ve made for a relatively easy escape to the surface. Certainly 300 feet is doable, though there will be injuries, and some may not make it in really good shape. Some may even die, but most would make it to the surface in acceptable condition. IIRC, the S-5 was in less than 200 feet. Much deeper than that, it becomes more problematic. Cold water also makes an emergency escape much more risky, and something you want to hold off on as long as is practical.
The Soviet Union went a different direction from Western submarines, in that many designs had escape capsules built-in, which could hold a significant portion of the crew. In some cases, the capsules were capable of holding the entire crew, and, IIRC, in some boats where the capsule couldn’t hold the entire crew, there were multiple capusles.
In the case of the Kusrsk, her escape capsule was severly damaged, and was in the flooded end of the boat, anyway.