If I create a post on DW on my "access" filter, but cross-post it to another site (LJ), then it will effectively show up as public on the other site (and not be filtered in any way), correct?*

My confusion stems from the fact that I have allowed some users with OpenID livejournal accounts access to my journal. My understanding of OpenID is that it is a tool for cross-manuevering between sites, and that the access I give to those users is limited to the DW site, and not LJ.

*I realize I can set my entry default on LJ to a minimum security level of "Friends" and effectively limit the post to my friends list, and somewhat curb this issue. I'm just curious as to how cross-posting something to my "access" list and another site works out.

Thanks. :}