You seem to be pattern-matching "non-repeatable" with "ought to be repeatable but isn't", a common tell that reveals liars. But consider something more mundane. I have a six-sided die here. First, I'm going to name it "Rolie", so that it won't be interchangeable with other dice. Now I'm going to roll it once, and note the number that came up. Finally, I'm going to throw it in the trash, so that this is a non-repeatable, one-time occurrence.

Now here's a sentence: Rolie rolled 2. Is this true, false, unknown, or incapable of being either true or false?

Some sentences are past-tense, some sentences are present-tense, some sentences are future-tense, and some sentences are timeless. All of them can be true or false.