In the case of California, more stringent attempts to suppress COVID have made their situation worse. They’ve had a much more rapid increase than other states with much less restrictions (like Texas and Florida).
Notice how even with significantly different mitigation/suppression and economic strategies, the big 3 states ended up in the same place. It’s just that California did it by overloading their hospitals while destroying their economy.
I don’t see any empirical evidence that show suppressing the virus is effective. In California’s case they seem to be much worse off for the path they have taken.