Huh, I presumed that any non-repeating irrational number would include all number sequences but I think you’re right. Even a sequence of 1 and 0 could be non-repetitive.
I am curious what the compression ratios would be. I suspect the opposite, but the numbers are at a scale where my mind falters so I wouldn’t say that with any confidence. Just 64 bits can get you roughly 10^20 digits into the number, and the “reach” grows exponentially with bits. I would expect that the smaller the file, the more common its sequence is.