Winning 'hearts and minds'.

You drop access to the internet as whole in places where the internet is suppressed or non-existent and the populace learns just how bad they have things then they might revolt on their own.

I wouldn't say I 100% advocate for the idea but thats the thought process behind it.

That would generally be considered a violation of another country's airspace, and some countries would even treat that as an act of war.

You would also have to deal with the real possibility that those countries would simply shoot down any planes observed dropping Starlink base stations.

nonprofits air drop usbs full of news in north korea, violations happen all the time