The larger the opening the bigger the header must be. The header will provide the desired opening and also define the space. For instance you may have a large opening between the living and dining room, yet the header will differentiate the two spaces.
Let's say you want to take two small bedrooms and convert them into one larger bedroom. In this case you would want a flush ceiling to create an uninterrupted space. This is a much more expensive and invasive project, but is still possible. After all, we have a craft operating on the surface of Mars, surely we can combine two bedrooms into one. We will address this in our next email.