You are referring to the ring stiffners and bulkheads? Then the greater depth of the Oyashios being a conseguence of having accepted a more performance driven internal layout in order to achieve failure pressure nearer to the hull material yield stress. Could their large size have favored a more efficient balance being struck in the efficient layout-habitability trade-off? I take the reference to different metals as an indication that different structural elements are optimized using different metals. Yes? The greater technical prowness of the Japanese could also indicate closer tolerances as further justification of the asserted greater op. depth. relative to the materials used.There can be in excess of 36 different metal types in a modern submarine. Its not the exoskeleton that counts - its the internal design that is critical.
There are far too many variabless involved to argue that a reduction of weight by using Ti is going to allow an increase in range or depth of operation.
eg, The Oyashios are the deepest diving conventional in the world - they rival some of the numbers thrown around for russian nukes. They don't use titanium.
The relationship between the specific strength of the structural materials and the performances still stands in principle, but now it's clearer that it's not a matter of simple substitution, but of complete redesign.
Which leads to a question. Do bigger subs offer more scope for improving hull structural efficiency than small subs?