[HTTPS-Everywhere] When is appropriate to add rules

[No http]

I am a little unclear as to whether one should use https-everywhere if
a website has https support but all links on the site are hard coded
to go to http://somesite/somepage.

This would result the first time you connect to the site,
https-everywhere redirecting from http -> https,  but then every
subsequent page you go to will go from the https (page1) -> http
(page2)-> https (page2).

In this scenario is there any real point in creating rules as you are
essentially going to be leaving the SSL session for each new page you
go to.