I can see this will not end based on what I say, so literature is probably the best way to resolve this. I would read this one. There are basic images of the different varieties. Google images actually does a great job of showing you the different types as well.
I have the damn things in my hand, I feel like I have an advantage on ID'ing them. I am going to take more pictures, to make you feel more comfortable so that one day people like me can post in peace. I don't expect an apology from you because I don't think you are the type of person to give one when your wrong. Knowing you're wrong though does ease the pain.
Do carnelian agates form in MN? Who knows, depends on how you define them. They are found in many places around the world, MN is not known to be a hotspot for them. I personally was under the impression they were mostly found in OR. Can you find Red Chalcedony in MN...yes. Could some rock hound from OR have dropped a carnelian agate off in MN? Yes it has probably happened. I would say if you have banded red chalcedony found in glacial till from the lake superior region it's safe to say its a lake superior agate. Going out on a limb with that one. I would even go as far as saying if you have banded chalcedony of many varieties and colors from glacial till from the lake superior region you more than likely have a lake superior agate.