I am still uncomfortable with the whole “shut up and multiply” concept too. But I think that’s where the “shut up” part comes in. You don’t have to be comfortable with it. You don’t have to like it. But if the math checks out, you just shut up and keep your discomfort to yourself, because math is math and bad things happen when you ignore it.
Here we run into the problem of “garbage in, garbage out.”
Here we run into the problem of “garbage in, garbage out.”