Migrating from domain mapping plugin to native domain mapping

Has anyone out there migrated a non-trivial network installation of WP from the plugin to native domain mapping? If so, could you share the steps you took to make it happen, with particular emphasis on how you dealt with sites that had multiple domains mapped?

You can’t.

Mapping multiple domains to a single blog/site is not a use case handled by WP core. The canonical answer for mapping multiple domains to a single blog is still to install a plugin such as domain mapping or Mercator.

WP supports native domain mapping, not domain mappings. You can change the home and site urls to a different domain, but you cannot have multiple home and multiple site urls without a plugin.