Anyway, for archival purposes you don't need to save the plethora of formats Youtube keeps at hand for each video, you just need one size in one codec, and it probably doesn't have to be 4K or 8K, which probably reduces the storage requirements by one order of magnitude or so.
It's only 45 years of video per day. That is very, very possible to save. That's roughly 600 terabytes of storage space a day. Which means that per month you're generating a long term storage bill that is about $18k more per month.
So after a decade of operation your monthly bill is about $2.1m which is far, far, far cheaper than what we spend on plenty of things. Like I said above: This is not impossible. In fact, I bet the NSA is probably already doing it. At least for public videos. This truly is peanuts.
edit: for example the average net worth of an American is 76,000$ but toss a couple billionaires in the mix, whose net worth is larger by such an enormous factor, that the "average" is misleading
(Of course, boiling a wide distribution of values down to a single value, no matter by which process, is fraught with problems.)