I don't see why JO would be any different from other Jcc, especially since JL is SF ≠ OF. Maybe you were thinking of the problem with INC/DEC and CF, but even then that's a problem of INC/DEC, not of Jcc.

It's not usually a big difference, but on modern Intel there is a some difference in performance between the different CMP/JCC options. The more common ones will "fuse" with the CMP and be executed as a single µop, but the rarer ones (like JO and JS) do not fuse with CMP, and thus can add a cycle of delay (and have the overhead associated with executing another µop). The optimization is called "macro op fusion". Details here https://en.wikichip.org/wiki/macro-operation_fusion and here https://www.agner.org/optimize/microarchitecture.pdf (pages 108 and 125).

Fixing that wouldn't seem to require any architectural changes in x86 though, it's just that Intel hasn't cared enough about JO and friends to optimize them this way.