One thing I have noticed about LiteSpeed is that they do regular updates on their product to fix things or improve it. And they seem to be good updates.
I have done nothing to my site as far as optimizing lately and there have been several upgrades to LiteSpeed over the past month or so. I usually score between 0.9 - 1.2 seconds on GTMetrix for the full page load on my Wordpress part of my site at my homepage. With the last two updates that has dropped to as low as 0.5-0.8 seconds on a consistent basis. I'm not sure why that is and can only think about the LiteSpeed updates. If that is the reason for the improved speed, then I'm not complaining and will take it!!
However, I do notice that my forums homepage does not get that good of results. They are still good results don;t get me wrong, but not quite as good as the Wordpress part of the site. I use the LiteSpeed Xenforo plugin, too. I'm not sure why that is?
I do think LiteSpeed has a good product.

I never got that low before with NGINX.