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Commits don’t store diffs, so you’re wrong from the start here.
Hence why people say “git is hard”
Yeah, you’re right, technically it’s not a “diff”, it’s the changed files.
I don’t think this technical detail has any consequences for the general mental model of Git though - as evidenced by the fact that I have been using Git for years without knowing this detail, and without any problems.
It’s all the files. Content-addreasable storage means that they might not take up any more space. Smart checkout means they might not require disk operations. But it’s the whole tree.