Host Named Site Collections with anonymous log in issues

Scenario :

We have a Claims Based Web Application which hosts various Host Named Site Collections.
One of these sites requires Anonymous Access. I have applied AA to the Web Application and activated it on the Site Collection in question. However, when users log in, when they navigate to another page they lose their login credentials (as if the cookies arent holding their data). Then they browse as Anonymous Users but suddenly they will appear logged in again?
Is this an error or a known issue? Can you use Anonymous Access on Claims Based Host Named Site Collections? Is their anything I can do to stop logged in users from suddenly being logged out and in?
Thanks >> copy from here

Root cause : suspected is because our HNSC web application root is not empty for port 80 , we have assign host header for it.

Workaround :  using power shell command to assign https to AAM then the https access will not facing this issues.
example of the power shell command
Set-SPSiteUrl (Get-SPSite 'http://portal.contoso.com') -Url 'https://portal.contoso.com' -Zone Internet