There is a CATO on the various orders of dress for each of the cadet branches, the most clear one is actually the air cadet one. Basically the CO can authorize the wear of combats (refering to the older OG combats), or civilian look-a-like clothing. Anything the cadet wears for a field uniform is at their expense and it is the CO's discretion as to whether the cadets are permitted to wear it or not. In the dress regs the "Standard" for combats remains the OG's. In this, or any other, order of dress it is pretty clearly laid out that only the issued dark green (blue, blck for air and sea cadetrs respectivly) rank slip-ons are to be worn. So the common interpretation has been that if you are wearing OG's, or Real CADPAT you can wear the issued slip-on, any otherclothing including look-a-like patterns, no rank or accoutrements are to be worn. CADETPAT is a league thing and hasn't found its way specifically into any of the current rules and regs we are using. I haven't actually see it other than the photos from VACSTC.
That being said, I have seen several cadets in real or fake CADPAT wearing CADPAT rank badges with CADET across the bottom, not a standard issue or even available item as far as I know, but surplus stores probably have the rank slip-ons and I'm sure some ingeneous cadet contacted CP Gear and had the titles made up for use. I wouldn't let them get away with that at my unit, but others might.