It's not a law. If human civilization goes extinct, no more "scientific truths" will be discovered. Or an authoritarian society could gain total control (perhaps with robotics), and for whatever reason, they decide to ban some fact and mandate that everyone be taught the lie.
But scientific truths have a tendency to be adopted that falsehoods don't because truths are verified by other truths, whereas falsehoods contradict them. A lie can only be so large before it becomes self-contradictory, the truth is incomprehensibly large yet coherent.
If quantum mechanics has problems, as we do more experiments, we'll encounter these problems more and more, until eventually they can no longer be overshadowed. I predict quantum mechanics will never be entirely thrown out, but it will end up as a simplified approximation of a more complex "true" model; which is still taught in schools and used wherever extra accuracy isn't needed, like classical mechanics is today.
I think Max Planck's quote matters in practice too. In theory, you can discover a "scientific truth" and be recognized for it, but only long after your death, and only after someone re-discovered it (i.e. you didn't advance scientific knowledge at all).
However, most people aren't particularly unique, which means that if you discover something, chances are others have discovered it, or are at least close enough that you can easily convince them. You may not be able to convince the dominant "in-group", but if your idea is obvious enough (which it probably is if it's true and you managed to discover it), you can form an "out-group", which will grow as the idea gets verified (by truths) far more often than contradicted (by lies, because there are less of the latter, since a lie can only be so large without being self-contradictory).
Why do science in the first place? If your only goal is to predict something, you're doing it for yourself, so do "Science 1" and listen to others, but only to correct yourself. If your only goal is status, the truth doesn't matter to you, so do "Science 2" and make others happy. If your goal is to further scientific knowledge, I recommend you do both with preference for "Science 1": prioritize being correct, but explain your idea very well and make others happy when possible without sacrificing correctness (diplomacy).
It's important to note that when you can't change the majority's factual belief, you should really evaluate your own, because usually in such cases you're the one whose wrong. But otherwise: when you can't change others beliefs, the next best thing is to (as much as possible) not care what they believe, even if they are the majority.