Edge Chromium - Loading a Site in IE11 Mode Within an iFrame

I would like to quickly check if the following is possible:

I configure a site to load in IE11 compatibility mode in Edge.

If I then load this site within an iFrame of a parent page that is not configured for compatibility mode, will the page be rendered in IE11 mode?

My testing shows this is not the case but I wanted to ask  here to be sure. Thanks a lot!