But it isn't a core concept if you do not need it. And an AST builder can be "injected" between the parser and codegen at a later point in time, if needed. You do not even need to do it in one go, e.g. if your compiler has something like a "ParseExpression" (assuming recursive descent parsing that spits out code as it parses), you can start by making a partial AST just for the expressions and leave everything else (e.g. declarations, control structures, assignments - assuming those aren't part of an expression, etc) as-is.

This is useful for both practical and teaching purposes: for practical because it keeps things simple in case the additional complexity isn't needed (e.g. scripting languages) and for teaching purposes because someone learns both ways (which are used in real world problems) while at the same time learning why one might be preferable to the other. And if you do the partial AST bit you even introduce the idea of an AST gradually by building off existing knowledge and experience the student has acquired.