Your video shows that the clay is not waterproof. This means liquid will be absorbed into the clay, which then can harbor mold and bacteria and contaminate food at a later time. This is why unglazed pottery is generally considered not food safe (with some exceptions for types of pottery that develop a closed, glass-like surface like porcelain). The temperature of the liquid will only influence the speed with which liquid gets absorbed, not the general principle.
That said, there are types of unglazed clay pots used for cooking, but they are typically heated so hot and for so long that food safety is ok (-ish, you still want to clean them meticulously and keep them dry to prevent mold), unlike drinking vessels, and the clay itself must be non-toxic, of course.
In short - if there are bubbles, there’s a potential problem with food safety.
Personally, I’d probably use the mugs as decorative objects for non-food items, just to be on the safe side. And if they are really unglazed, I’d also not use them as vases, because there will be moisture on all sides, including the bottom (speaking from experience, when I was younger and naïve).