When you get a Cadet in? Should they just stay with Officers? Or come to the Enlisted side?

The goal of being a cadet is to become an officer so they need to be groomed as such. That being said, being taught by NCOs on the value of NCOs is and should remain a big part of that grooming. Simply being left among officers could lead to not getting the full picture and not learning the basic philosophy of supervising vs. managing, that can be confusing. This used-to-be-newbee got stuck on it once or twice. You are correct in that Os need to understand the E structure and the NCO CofC and how it all fits together.

I had a decent experience when I was a PSG with a cadet. I rotated him threw the squads attached him to a SL and let them go. When they weren't out with the SLs, they were with myself and LT. We explained how are jobs were different and how they were the same and how we as a Platoon team ran things to get the mission accomplished. We had a good cadet. On the weekends the LT kept watch over him and made sure there was minimal fraternization with the joes.

We had zero issues, we even let him lead a few missions and he was pretty adept so it worked out in the end.

Next to nil? Engineering, artificial intelligence, linguistics, political science, nursing.... the list could be endless, and I would argue bring real value from Day 1. Should they see all aspects? You bet. Be cautious your "firm belief" doesn't lead to stereotypes. I have met some amazing privates with amazing life experiences, deployed with lower enlisted with Ivy League pedigrees and some SMP cadets with more deployments than the Commander.