chet, for me it is just the opposite. The Omegas tortured my trigger hand due to the small design of the guard, the recoil was brutal with any significant load, the synthetic stocks were flimsy, the hammers aren't overly friendly and not suitable for an extension, and the triggers were borderline lousy. The Omega does not fit me, no way... no how.
The Accura left nothing but a smile on my face from the first shot.
I've not owned a Triumph nor ever even fired one so won't comment on one, but the question was choice between Omega and Accura.