My opinion is probably biased or influenced because I spend most of my time on Stack Overflow.
I don't think the site should be migrating to one another. I don't think its within the originating site's purview to decide what's on-topic and off-topic for the destination site. I also don't feel its within the originating site's purview to decide what is "quality enough" to migrate and what is "quality deficient" to deny migration. Those questions are answered by the destination site, not the originating site.
I posit User Initiated MigrationsUser Initiated Migrations is the preferred tool. If the users of the originating site suggest it, then allow the poster to move the question on their own. It avoids the cross-governance problems, and also places control back in the hands of the poster. If the poster does not heed the advice of the originating site by performing the migration, then close the question as off-topic. I find most new users who wander into off-topic only need to be pointed in the right direction.
ELU => ELL seems to be an outlier. I can envision the tight coupling, and I imagine there are folks who ask "what is the difference between the sites" and "should the sites merge", ... Maybe ELU.SE and ELL.SE should be the exception and not follow network-wide procdures.