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Also, I would post to HN only when hiring remotely, because it's a great source to find remote workers?

A better analysis would be job boards in general?

But the relative variation might still carry some information , right ?

Depends on the sample size.

The variation on the absolute number of remote jobs carry some information, that is hard to link to any cause but is there.

The variation on the ratio of remote to on-site jobs carry much less information and is still harder to link to a cause.