From what I gather, it sounds like JD is being asked to do a lot less than Caleb is.
It seems the Bears have put everything on Caleb's plate, and they are having him battle through it and grow, which he appears to be doing.
Maybe putting less on CW's plate and slowly adding to it is a better process, or maybe giving it all to him at once and letting him make mistakes and learn is better. I don't know, but we'll see how it unfolds.
What I would expect if these above things are true, is that JD could initially avoid some of the mistakes and the growing pains that CW is facing. Like you said, I would also expect that the NFL will adjust to JD, which we've seen many times with mobile QBs.
What I most certainly would not do is reach any conclusions or panic on a rookie QB class after 3 games (not saying you are of course, but obviously some are).