In my opinion, if you need a stronger lock than the Axis you should limit yourself to fixed blades.
Many believe that the frame lock and lockback are stronger than the axis and the liner is last in strength, I find this hard to believe, I cant see how any of these locks are stronger than the Axis espically the frame lock as it still has the same potential problems as the liner under extreme stress, sliding off the blade tang!
I would think the AXIS, Compression, and Rolling Lock are the strongest from a mechanical comparision.
Yes I know I have done nothing to answer your question, sorry.
With all the knife testing that is going on on this forum you would think a test of these hypotheses would be possible.
I think the one knife responsible for people thinking the frame lock is superior is the Sebenza, which many love and would hate to admit its lock strength isnt superior to the AXIS.
As far as the lockback goes, do some spine wacking tests with the ones you admire and you will find that many are insufficient.
Of coarse the particular knife which is housing any of these locks has a lot to do with the locks strength.