If the 10x, 100x or 1000x programmer does not do the 10x, 100x or 1000x times on average on their day to day then they are not 10x, 100x or 1000x programmers.
(for whatever the heck a 1x programmer is, which people talking about 10x programmers oddly always skip on giving any decent definition)
The best programmers can produce code every day that a mediocre programmer cannot ever produce under any conditions. That is the entire point of the discussion.
I don't even think it's that controversial of a statement, just shift to another field and I think it's self-evident. Paul Erdos could on any day produce better mathematics than the rest of us could produce in a lifetime. Not better maths than his peers, but his peers were also exceptional. Better than the average person who knows how to do their times tables though? Absolutely.
Maybe from most people perspective, everyone else is about as bright as everyone else. Because they cannot tell the difference. (And instead people fallback to things like how others dress and how self confident they sound)
There is much more to 10x than how many lines of code you can produce. A monkey on a keyboard can type faster than Carmack but productivity is not assisted. No one is arguing that a 10x programmer is more efficient by way of swift fingers.