Some of the root servers are also in the EU, so there is zero dependence on the USA for resolving european ccTLDs.
With the end result that I had to go in and remove those records from my cache, too.
What percentage of the organizations that run the root servers are non-US? There are thirteen logical root servers ([a-m].root-servers.org):
Three (i, k, m) are not run by non-US legal entities: Netnod (SE), RIPE (NL), WIDE (JP).
I can see the value in dns as public utility (though one I’d be skeptical about using or paying for) but this doesn’t seem to do what the OP suggests on the US independence front because DNS is already independent.
I’d be a lot more understanding of a public email provider than DNS to promote a break with US infrastructure.