Yeah there is no guarantee any proof would even show you how to create a polynomial algorithm for some NP problem. It could just show some logical contradiction

Yeah there is no guarantee any proof would even show you how to create a polynomial algorithm for some NP problem. It could just show some logical contradiction that happens if P=NP is false. Or obviously even if the proof does show you how to do it but the exponent is some insanely large number (see some of Scott Aaronson's other articles about "busy beaver numbers"), then that does not change anything practically either.