"Open Source" already doesn't cover these special licenses, instead, the "source available" is used. Any also acknowledges this actually - the license they are using is called the "Any Source Available License 1.0".
The term "open source" is not referring to software with a free license, but to software whose source code is available to the public irrespective of license [1].
[0] https://www.gnu.org/philosophy/floss-and-foss.en.html
[1] https://www.gnu.org/philosophy/open-source-misses-the-point....
The FSF article directly follow with this, which contradicts your claim: "However, the obvious meaning for the expression “open source software” is “You can look at the source code.” Indeed, most people seem to misunderstand “open source software” that way. (The clear term for that meaning is “source available.”) That criterion is much weaker than the free software definition, much weaker also than the official definition of open source. It includes many programs that are neither free nor open source."
And the OSD also disagrees: "The license must allow modifications and derived works, and must allow them to be distributed under the same terms as the license of the original software."
Terms that can be summarized as "whose source code is available to the public" are called "source available", even by the FSF.
[0] https://github.com/anyproto/anytype-kotlin/blob/main/LICENSE...