The Costco one uses household current (as can be seen in one of the photos that shows a cord and a plug) and the AliExpress uses USB. I doubt that USB can supply enough power to do more than a trivial amount of heating. USB 3.1 has a max of 15W, and I can't imagine that a $25 blanket is going to use the more sophisticated USB Power Delivery connections where even the cable & charger can cost more than $25.
While trying to find the actual power consumption of the Costco model, I found this very useful comment on the Costco site: "The power consumption is not listed anywhere - product packaging, website, or included manual. I went ahead and made the purchase and hooked it up to my battery unit once I got home. I can confirm, the blanket uses an average 99W regardless of which mode it's in. I left it in each mode for about 5 minutes. There's no difference to the touch of the blanket and there's no difference with the power consumption. In other words this blanket has one heat setting and it's not very warm."