OK minor question but one I think is important. I did some research on the various French Royal lines and came across something that confused me. The House of Valois had three distinct branches that ruled: the main Valois line, the Valois-Orléans line and the Valois-Angoulême line. Yet all were generally called the House of Valois. So in this spirit should the House of Orléans or more formally the Bourbon-Olréans be called the House of Bourbon instead?
Are the Orleans more distantly related to the main-line Bourbons than the various Valois branches were to each other?
There's also the fact that they didn't succeed to the throne naturally, so there's discontinuity there, as well as the antipathy with the mainline Bourbons (and you probably don't want to tie your identity too closely to a house that's been deposed three times in 50 years, once by you).
Does it have anything to do with how the monarchs in question presented themselves (i.e. Did Louis Philippe stress a distinct identity as a ruler of the House of Orleans whilst Louis XII and Francis presented themselves as belonging to the House of Valois)?
But, if you want to get technical, then every king of France should be considered to belong to the House of Capet as all were legitimate agnatic descendants of Hugh, so...