As the other commenter said, these days Claude Code often does actually reach for a script on its own, or for simpler tasks it will do a bash incantation with grep and sed.
That is for tasks where a programmatic script solution is a good idea though. I don't think your example of "check the code for errors" really falls in that category - how would you write a script to do that? "Staring at the code really hard" to catch errors that could never have been caught with any static analysis tool is actually where an LLM really shines! Unless by "check for errors" you just meant "run a static analysis tool", in which case sure, it should run the linter or typechecker or whatever.
Running “the” existing configured linter (or what-have-you) is the easy problem. The interesting question is whether the LLM would decide of its own volition to add a linter to a project that doesn’t have one; and where the invoking user potentially doesn’t even know that linting is a thing, and certainly didn’t ask the LLM to do anything to the project workflow, only to solve the immediate problem of proving that a certain code file is syntactically valid / “not broken” / etc.
After all, solving an immediate problem that seems like it could come up again, by “taking the opportunity” to solve the problem from now on by introducing workflow automation to solve the problem, is what an experienced human engineer would likely do in such a situation (if they aren’t pressed for time.)
I've had multiple cases where it will rather write a script to test a thing than actually adding a damn unit test for it :)