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Yup as far as I know the only three elements that are magnetic are Cobalt Nickel and Iron. there maybe some very rare very heavy metals as well but nothign in a razor but maybe traces, which wouldn't...

doesn't matter what its made of it matters how they interact
technically only iron cobalt and nickel are magnetic, but they have some super conducting synthetic magnets made out of ridiculous heavy...

We are looking at Carbon steel as one kind of steel and stainless as another. In reality there are hundreds of kinds of steel, some so high in carbon they cannot be stainless, and others so rigged...