> have they?

Yes, they certainly have.

Look at the ratio of cases to deaths in the data from countries where people generally believe in science and are accurately measuring data: Canada, Germany, Israel, France, etc.

Look at Portugal, with the highest vaccination rate in Europe and see how there are 3-6 deaths/day despite a resurgence in cases.

The US has a low vaccination rate, and is in complete disarray regarding COVID (in many cases simply due to the fact that each state has its own policies/problems), but most modern countries are carefully balancing policy to keep ICUs at a manageable rate.