[abecedarius]

The claim I've read is that the bats live thousands of miles away. We shouldn't need to speculate.

[hyperpape]

The migratory range of bats is apparently up to 2000 miles: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7149675/ (no idea whether this describes the specific bats that are known reservoirs of these viruses).