Page Init on /plugins/common/feature/*

Hopefully this is a quick question to answer...

Does the Page Initialization script run on all server requests or just requests to certain paths/pages?

Context:

I'm trying to run some logic prior to the Lithium SSO page redirecting to our SSO.   Use case is that I want to be able to detect if the community needs to redirect the client to the standard SSO or a separate employee SSO.  Both SSOs are already integrated but when a user attempts to access a restricted section of the community that requires login, they are always being directed to the customer SSO.

Here's my page init code:

<#-- Start Employee SSO redirect logic -->
<#assign empCookie = http.request.cookies.name.emp />
<#assign requesturl = http.request.url />
<#if requesturl?contains(".com/plugins/common/feature/oauth2sso/sso_login_redirect") && empCookie == "true" >
    <#assign redirectreason = http.request.parameters.name.get("redirectreason", "none") />
    <#if redirectreason == "permissiondenied">
        <#assign referer = http.request.parameters.name.get("dest_url", "none")?url />
        <#if referer != "none">
            <#assign empredirect = "/plugins/common/feature/saml/doauth/post?referer=" + referer />
            ${http.response.setRedirectUrl(empredirect)}
        </#if>
    </#if>
</#if>

<#-- End Employee SSO redirect logic -->

My current theory is that requests to the Lithium built SSO pages run the page code first or don't execute page init at all.  Hopefully I'm wrong. :)