It'll exist in some form, and there will always be someone converting stuff from old to new.
If it's important anyway.
This is a popular fallacy; the old "some undefined, massively funded archive out there is chugging away, preserving everything possible, migrating digital media with an endless, replenished budget, all for the sake of Humanity.
It could not be farther from the truth.
Fact is, in this current World society, if it is not immediately able to be "monetized" it is marginalized and eventually discarded. Even currently "valuable" data that is wildly profitable will eventually be deprecated and discarded for the very fact it is no longer profitable.
Having spent 25 years in an archive, I saw this first hand happen over and over again.
The percentage of "important" work that eventually survives would be lucky to reach even 1% of the total output and THAT depends on current trends and fashion. What was important 30 years ago can hit the bin in a flash when either it is deemed improper to prevailing mores OR space is needed for more modern "important" work.
I now think "archival" really means, it lasts as long as you do.
Oh and let me add; just because an archive acquires a collection or an item, it doesn't mean it will be preserved, stored properly or even cataloged. The very idea makes me laugh...