What matters is ice thickness, not air temperature.

They're not that closely related, and there's plenty of times when it's warm out, there's big puddles all over and it's perfectly safe to be on the ice. (and plenty of times of the inverse).

That said, common sense should prevail - if it hasn't been a very cold winter and it's recently been warm....you ought to be checking more carefully than normal. And certainly shouldn't be winging it.