My guess is that it doesn’t work for several reasons.
While we have millions of LOCs to train models on, we don’t have that for ASTs. Also, except for LISP and some macro supporting languages, the AST is not usually stable at all (it’s an internal implementation detail). It’s also way too sparse because you need a pile of tokens for even simple operations. The Scala AST for 1 + 2 for example probably looks like this,
Apply(Select(scala, Select(math, Select(Int, Select(+)))), New(Literal(1)), Seq(This, New(Literal(2))) etc etc
which is way more tokens than 1 + 2. You could possibly use a token per AST operation but then you can’t train on human language anymore and you need a new LLM per PL, and you can’t solve problem X in language Y based on a solution from language Z.