I think it will accelerate art's financialization. As soon as this pandemic is over, the art world will resemble something much more akin to that of an industry than it does now; one that is coordinated by a general cartel of art dealer magnates. Many small(er) galleries and museums will either be shut down for good, have their collections subject to deaccession, and/or be replaced by multi-story complexes funded by foreign investment. So more of the same of what's been happening since the turn of the millennium, just all at once.
Increased austerity is already putting a stranglehold on art markets and so long as this continues unabated, it will push emerging and working artists alike out of practice. Museum unionization efforts will certainly intensify, and hopefully expand into auction houses like Sotheby's, Christie's, etc. They're the real wildcards here; god forbid we get another "Beautiful Inside My Head Forever". On the plus side, galleries and museums are reconsidering the extent to which their collections should be available online; so that's pretty cool.