While visiting the jobsite for our new home, I noticed the forms for the crawlspace walls (at some points) were extremely close to the footer (both inside & outside in places). Will the fact that these walls are not centered on the footer cause problems down the road???

Probably not, but a real asnwer cannot be given without knowing the exact.loads coming down in that exact spot onto the footing (still can't get used to calling them "footers") and also knowing something about the load bearing capacity of the soils directly under the footing.

However, if it's a normal house, with normal loads, and decent soil, the width of the wall might be enough bearing area by itself.