As a South Korean, I'm not sure covid has much to do with acceptance of "big government." Unlike most of the West, many Asians have lived under real dictators - some still do. We know what a dictatorship looks like, and we know how terrible your life can be when the government abandons its duty to protect people. To put it other way, "Your government shouldn't have enough power to fight an epidemic, because that's to…
I think it comes from shallow interpretation of sayings such as "power corrupts, and absolute power corrupts absolutely". I mean it's a catchy saying, but in reality it's just a result of terrible system engineering (in this case the government system) in many places.
It is totally possible to have a powerful government and have that government supervise. In the end there is a clear distinction between "big government" and "authoritarian dictatorship". If your big government devolves into individual dictatorship it just mean the single executive position likely had too much power to begin with.
In fact, similar to companies, it's very well possible to avoid a single dictator CEO even as your company grows large and end up with a large management hierarchy.