Our restrictions were much heavier than places like Taiwan or Japan which didn't force any businesses or schools to close etc, so not sure why we are classified the same as them.Exactly. In that chart you showed we are classified as 'light restrictions'. We've locked down our borders but still 'light' - that should tell you something, yes?
The thing that all the top performing (healthwise) countries have in common are strong border control and the ability to enforce it - island countries like Iceland, Taiwan, Japan, New Zealand, Australia, and countries with basically impenetrable borders like Vietnam and Korea.
By far the biggest factor in stopping the virus was stopping it coming into your country early on, the countries that did that were barely affected at all. Locking down businesses, closing schools, making people wear masks etc did 2/5ths of fu** all.