As you saw on the official TSA Blog, it says explicitly
"Frozen gels/liquids are permitted if required to cool medical and
infant/child exemptions. Frozen gels/liquids for any other purpose are
So it's off limits in the USA.
The UK for example states the definition of liquid by matter of subject (such as all drinks etc) instead of their shape or status (frozen etc). So it is safe to assume that drinks, frozen or not, are not permitted.
Same goes for the EU.
So in other words, no. You cannot take a drink into the airplane, just because it's frozen. It's still a "drink". You will have to live with the fact that the regulations are not using terminology that matches what we learn in physical science.