Any calculator makes assumptions. A calculator that required you to explicitly restate things like: "I won't be pouring molten metal on it during operation" would not save you enough time to become popular. PCB calculators usually assume that your stackup (materials, layer count and order, thicknesses) is already fixed; you supply these values, but it won't recommend changing them because that isn't the typical use case.
When calculating current capacity, it is a little more likely that you will be able to use thicker copper, but the normal case is still likely to be "Given copper of this thickness, how much current can it carry?" or "Given copper of this thickness and width, how much current can it carry according to legally required safety standards?" or "Given copper of this thickness and width, and given this current, how much temperature rise should I plan for?"
If you care about both impedance and current capacity in the same trace (and normally you don't!), then first calculate the minimum size with a current-carrying calculator, and then go to a different (impedance) calculator to see if that works. If it doesn't work, then you need to change your stackup somehow -- typically by using a thicker substrate, or at least clipping out the local ground plane so that it has to use a more distant reference. The impedance calculator can tell you if this new stackup works, but it won't usually suggest changing the stackup (or adding cooling), because those options are "beyond its paygrade".