Hmmm...
The passengers think they are paying for two qualified pilots to be at the controls...
I've flown with both systems, and there is no doubt in my mind that the best operation is with full role reversal and both having the right to say and do 'stop', provided the RHS occupants are of high calibre and well trained and tested.
I've only had one genuine big engine problem before V1, and the FO, PNF, spotted it well before I did. He called stop and I did.
The points made above reflect the awkwardness of the system, there's history about qualification lost here, too, and there are few operators who meet my criteria above, these days...