I'm having a hard time using mount points in TYPO3 7. Goal is to reuse a part of the page tree for multiple websites. The problem is: When I configure the mount point and open a mounted page there is no typoscript anymore. It seems not be inherited from the "parent" page. But I don't want a whole new TS setup for the mounted pages, because they should appear in the respective layouts of the websites.
Imagine a red website and a blue website that both offer the same product for which a product page exists (in fact it's multiple pages). The product page has to be included in both websites, but one time in the blue layout (from the blue website's TS) and one time in the red layout.
Any hints?