Does it matter if the LLM can solve the problem or if it knows to use a resource?

There’s plenty of math that I couldn’t even begin to solve without a calculator or other tool. Doesn’t mean I’m not solving math problems.

In woodworking, the advice is to let the tool do the work. Does someone using a power saw have less claim to having built something than a handsaw user? Does a CNC user not count as a woodworker because the machine is doing the part that would be hard or impossible for a human?