I think some of the more obvious nods towards the kids audience were jettisoned and the focus gradually came back onto the Doctor rather than the companion but much of Rose would not have looked out of place in the final year of Davies' tenure, or even in a Moffat season.

Eh, I think it would have been very out of place in a Moffat season: it's chock full of the 'applegrass moments' that provide characterization context for later actions but contribute little directly to the plot at hand. For instance: Rose waking up, kissing her mom, her lunch with Mickey and convo about going back to school, the suspicious racist look that the man in Clive's neighborhood gives Mickey as he is sitting in the car. Moffat doesn't roll like that, prefering to concentrate solely on dialogue that is relevant to the plot (as opposed to the context in which the plot is supposed to exist), which is why I and others often feel so distant from his characters. I strongly suspect those moments would have ended up on the cutting room floor had a writer tried to sneak them in under Moffat's watch.