Haha, I've just the experience to share with you. This is just me. The day after I ordered my Mini I immediately received a notification from UPS saying a packing from AI is coming. By Monday afternoon, indeed it was here, the case for me to send back my trade-in. But the funny thing is, I JUST received an email this morning (11/12) telling me that remember to send in my trade-in and my trade in kit is on the way. So I'm not sure whats going on.
BTW, when I ordered my iphone 12 Pro I also received my trade-in kit before the phone was here. I remember it clearly because I tried to trick my wife by telling her the phone was here early and it had the company name AI written on it, which she called my bluff.