SP4: HTML Container Cache: JSessionId are cached among group of users

I did a fresh install and validated my home page. I clicked on the ACME corp logo and I got a Jsessionid (else flush or restrict your cookies to get some of them).

Then each time I am clicking on the ACM Corp logo in order to come back to my home page, I am getting again a JsessionID paramater. If I try to login with another user sharing the same ACL GroupKey, I also share the same url with the same jsessionid while my second user (siteadmin) has another session id.

So this skeleon is cached:
http://localhost:8080/jahia/Jahia/op/edit/pid/1;jsessionid=0F36EE1AAC642954BFEC4305B8C899A7

Jsessionid paramater should not be cached and should be removed from the cached url