Tariffs don't solve these problems either. OP's suggestion is pretty decent idea relative to playing wack a mole with price fixing while trying to make sure your country's corps can compete on the global market.
If national governments are going to allow companies to be trans-national, then we clearly need trans-national regulatory authorities. This isn't rocket science.
People act like corporations are immutable acts of divine intervention. They are an artifact we create and we are free as a society to change their parameters however we wish.
We can look at a map of most popular messaging apps per country in the light of todays downtime and see that they don't or they compete with themselves.
It also shows the only places where competition can grow to a scale where it can even hope to start competing and survive is where there's first a protectionist policy in place favoring domestic players.