Now, I should add that I did not mean my question to be a criticism of them! I'm genuinely curious on evidence that they are a basic building block. Feels save to say they are a good building block, and those aren't the same thing.
As an easy example for them not being basic building blocks, I can't remember ever seeing anything like them in any assembly instructions for things. Put together a batting net for the kids. Lots of instructions, but nothing algebraic, in this sense. Looking at recipes for food. Nothing algebraic, really? Maybe I can squint and see some, but it would be hard. Exercise plans? Music lessons? Playbooks for a sport?
Again, though, I /do not/ intend this as a criticism of them. Genuinely curious on any investigation into them.