I think that nagging promotion is counterproductive. Sure, some users switch if nagged hard enough, and this shows in the A/B tests. What is not shown is that those are often less tech-savvy; they'll see that the browser changed, say "my internet is wrong, could you fix it up?" to the local "computer guy", he'll reinstall Chrome, make it default again, and mess with the configs to minimise Edge pop-ups. Because often slightly tech-savvier users have zero trust on Microsoft actually doing things for the sake of the users, if Satan appeared in Earth and told them "hey, I just made Hell Navigator!", they'd consider it over what they see as Internet Exploder 2: Electric Boogaloo.
Instead I think that a better promotion tactic would target tech-savvier users, and let them do the rest through grassroots (or astroturf) promotion. Give Edge some meaningless technical merit over Chrome, and spread the word about it, while paying some journalists and "journalists" to spread news about how awful Chrome, Google, and Alphabet are.
(I'd still not use Edge, not even if I used Windows. But... hey I don't use Chrome either. A plague on both houses.)