"in the regimes we have tested"

That sounds a lot like the qualifier so far as we know in your own example. In fact, the only example you've given where it arguably doesn't apply is mathematics.

David Hume famously argued that causality is based on experience, and experience similarly based on the assumption that the future models the past, which in turn can only be based on experience – leading to circular logic. In conclusion, he asserted that causality is not based on actual reasoning: only correlation can actually be perceived.