Miners still receive it from transaction fees, so no. Although the economics of keeping the network secure in the face of no new bitcoin being created and many txns happening in side chains or rollups (or not happening at all) are untested.
Not really. Historically, no global currency since the Byzantine Solidus (whose practical dominance vaned with the Fourth Crusade in 1200-something) has lasted longer than 80-100 years. So, Bitcoin isn't even trying to do so.