Many paper advantages
Longevity, so far up to thousands of years.
No dependency on power supplies or other components to read it
Easy to annotate with just a pencil.
Robust, still work even if wet and, to some extent, even if charred.
Shock proof and, for short douments, notes etc., light, small, portable.
Security: can be locked away, buried or whatever in container designed just for security without needing to have regard to power supplies, earth tremors etc..
Short hand can come back for reportage.
Many more.
Drawbacks:
Can be bulky and heavy
Harder to share quickly, especially across distance - or is this its greatest advantage?
Can still be encoded; but this can not be automated (nor decoding, plus point).
As for typewriters: it should not be that hard to damp the noise or to have some sort of device in the ribbon spool that would flatten and re-ink the ribbon or simply shred it to force single use, instant destruction. And if one learnt to type on a decent typewriter, one detests the modern keyboard and its complete lack of practicability.
Encryption: if you ever try to read my handwriting, you will realise that it is completely unnecessary.