Yes, they are pretty strict about ammo in IL.
But Indian, my daughter could throw a box up on the counter at Cabelas and they wouldn't even question it - most of the time.
I swing by there all the time, but they did card me once I think because of seeing I was from Illinois for handgun ammo. Not recently though.
I have plenty of .22 and load my own 9mm so I am not sure what the shortage is about. Big buying spree? Why would ammo be out, the proposed new laws would really only affect high capacity magazines and big ar-15 style weapons which I don't really have anyway.