Yes, connecting resistors in parallel cause the current to go through the one with the least resistance.
No, never say this. I know it gets stuck: it's a very common lie that is taught to us early on (speaking of Youtubers, I think Electroboom had a section about it on some of his videos). It has no merit in reality, not even as a simplification, because it is clearly just plainly wrong, and won't provide useful abstraction for any practical use.
I know you know what you are talking about, but phrases like this are extremely confusing, and the beginners must unlearn such widely touted lies.
Your words are clear: "
the current" "through
the one". This is just plainly wrong. Correctly would be, more current goes through the smaller resistance.
Of course, our complete electrical system is a bunch of things connected in parallel - classically even simple resistances, such as heaters. We all know that turning on a heater does not much affect the others.
You are right that tolerances are indeed not that meaningful, but this goes for both parallel and serial connections, so use whichever is easier for the particular set of resistor you have, and based on the ease of making the actual connections physically.
Unless the tolerances are
really crappy, or the system is improperly dimensioned to be really on the edge without any margin whatsoever...