Not true, Apache is just as fast as lsws especially if you configure Apache to run aside nGinx.

Do bench marks your self, Not only that lsws is not fully compatible with everything as apache i such as mod_rewrite, mod_Security and several other items.

Out of the box litespeed is just as slow as apache is when it is not configured correctly.

And the vps version of lsws does not have all the features the dedicated server version does / paid. fyi