I think there’s a richness in being able to shift or emphasize perspective like that. And a poetry, for want of a better word, that comes with that.

‘Coming’ and ‘going’ do the same shift. “I’m coming to Europe; they’re coming from Europe,” feels just a bit stilted to me, though that’s subjective I suppose.

If you want to get rid of immigrate Vs emigrate, maybe we just talk about ‘migrate’.

And scrap ‘coming’ and ‘going’ for ‘moving’.