No, there are definitely diffeeences in timescales.
“It will eventually rain today” is very different in its truthiness when compared to “it will eventually rain this year”. It’s the same when comparing statements with a close by deadline (the expected death of a cat) and one that is much farther off (the dissolution of the USA).
Beyond that, Boltzmann brains tell us that some things aren’t possible given an infinite amount of time.
Do you... have a cat? It's harder to get them not to eat the fish you don't want them to have.