In a lot of cases, the most useful property is "for all inputs, the result is the right answer", but we don't know the right answer until we've written the algorithm, and there's not usually much point writing two algorithms unless, like here, one of those algorithms is trivial correct but inappropriate for some reason.
More generally, I feel like the more trivial a property is to check, the simpler the code to implement it is, and the less useful the test is in general. In the extreme case, a getter/setter pair is very easy to test with PBT, but you rarely need to be testing your getters and setters.