That means that if there's no explicit running time guarantee given, your alternatives are to either not use that API at all, or depend on the running time you can observe or guess at.
Since people write APIs to be used, the former is obviously not what's intended. So it's pretty reasonable to consider any API without an explicit running time guarantee to have an implicit one along the lines of "this won't get vastly worse" because your only other choice is not to use it at all.