if you monitor a simple /hello.html page and response average is very high(above 2 sec), I'd agree it's a litespeed issue.
but if you monitor the a domain's homepage, which could be very complex, litespeed may just wait for backend php/mysql to generate the response, you can't blame litespeed. in this case, php/mysql is the bottleneck, or bad php code can be the culprit,