I'm a Captain who has just converted from a type with a tiller each side to a type with just one tiller.
So now, I'm always PF on the ground.
Therefore it's me who does the walk round, starts the engines, calls for checklists and taxis every single time.
I really prefer it and as the two of us are always doing exactly the same thing while we're on the ground, there is a much firmer regime in force.
I've really no problem with the BA monitored approach, which we use but I was taught that it's the Captain who watches out for the big stuff and the FO who avoids the wee stuff and I think that this SOP keeps the Captain more in the loop than the old one- although, of course a perfect Captain would be unaffected.
I'm 100% sure that having non varying duties on the ground is good.