I think that what you trained for and execute with your current operator normally seems more “right” than other operators who may do it differently. I think the key here is training: if the SOPs work, and they do seem to with both approaches discussed here, then what’s the problem? There are valid arguments either way, but as professionals we adapt to requirements.
A certain large fleet in a certain large airline is close to changing from PM handled reverse and speedbrakes to PF handled, over a quarter of a century after the type was introduced. If adequately trained and practiced (and that’s going to need a LOT of both, IMO) then it should make no difference...