Hi Felix,
That gives me a great sense of the problem, but unfortunately I am unfamiliar with this particular theme (am I correct in thinking the carousel ships with the theme itself – or is it actually a separate plugin?).
What I do see when I visit the URL you provided when you opened the topic is that what I believe are the “missing” items are actually present, but commented out (within the header.masthead-inline element). My guess is that some piece of code ought to uncomment this, but I’m not sure what the missing trigger is.
Are you able to check in with the vendors of X-Theme (or the authors of the carousel, if different)? While, like us, they may not directly support integration issues with products made by other vendors, perhaps you could ask a general question along the lines of:
Which code is responsible for commenting and uncommenting the HTML within header.masthead-inline – and what triggers this?
Let me know how you get on!