I would venture to guess that it has value in that we couldn't even begin to properly test a theory of mind if they can't yet reason through a logic puzzle.
It would be like testing if a society could build a rocket ship when they don't know how to use tools.
Fair point, but I'd say that I don't think of LLMs as anthropomorphic individuals and more like societies acting in statistical concert. Maybe this is a failure on my part and is the wrong approach.
I don't have a link but I believe squirrels do, for the exact same reason: their lives are full of intense intra-species competition, with other squirrels constantly raiding each others' stashes. IIRC squirrels will even deceptively hide acorns if they know another squirrel is watching.
Our ability to understand animal intelligence is limited by or ability to ask appropriate questions, so we tend to underestimate intelligence outside of the primate space.
It would be like testing if a society could build a rocket ship when they don't know how to use tools.