I didn't ignore anything; I just pointed out that they have very different playing styles. Adding "much more athletic" to the original question doesn't change that fact. It's like asking, "Does a Maserati Levante remind you of a much faster Ford Focus?"
Besides the athleticism:
Josh is an improviser; Drew wasn't.
Josh plays like a kid at the sandlot, but at a professional level. Drew was always a cool-headed, mature QB, without the youthful qualities.
Josh takes chances; Drew, for the most part, played it safe.