Thank you for your reply, as always in these matters, your answer brings up useful information, and also brings up more questions.
The non ruling royal houses, that change their dynasty lineage, encounter many challenges. In the case of Romania, the monarchy, was short lived, if you compare it with other European dynasties. The first two kings,Carl I and Ferdinad I, were the German born sons of Karl Anton of Hohenzollern-Sigmaringen. This lineage was fragile from the beginning since the WWI conflict since the kings, thereafter used the name "Of Romania" although they continued to be entitled to the titles and styles of the Hohenzollern-Sigmaringen.
In 1950, The furst of the house of Hohenzollern-Sigmaringen writes a letter to his cousin Carol, in exile in Portugal, asking him to call a family council to discuss the matters of Michael's ,abdication, and the need to choose an heir to the throne of Romania.. The furst, also mentions, that he as the head of the Hohenzollern-Sigmaringen House, has the authority to call such a council Carol dies in 1953.
So the question of the heir to the throne, remained , and only after the fall of the communist regime in Romania, and the restoration of a democratic state, the Republic, became a constitutional state.
Now the issue, is : when Michael, returned to Romania, he was not king, but he managed to be publicly recognized as a former head of state, and was granted some privileges accordingly, one, was to be recognized in his former dignity of "King".
Once in Romania, Michael, reorganized his House of Romania, his "Fundamental rules" as you mention. At the time, the lineage of the Hohenzollern-Sigmaringen Romania, is still in force, and so all members have the use of title and style.
So comes , 2011, and Michael, breaks ties with the lineage of Carl Anton of Hohenzollern-Sigmaringen. The problem here, is that those changes have to be consulted with the parliament, as was the case with the Windsors.
In the UK, the Royal and Parliamentary Titles Act 1927 was an act of Parliament that authorized the alteration of the British monarch's royal style and titles, The king was authorised to issue a royal proclamation within six months of the Act's passing, authorising him to alter the royal style and titles. Following the precedent set by similar legislation in the past, the Act did not itself set out the form of the new style and titles that were to be adopted.
Of course, the UK, is a monarchy, and Romania, is a republic, and it was not possible for Michael, to seek the approval from the National Assembly of Romania.
So the question remains, how does this new dynasty, legitimizes its claim to the throne of Romania ? One answer, would be by an act of parliament, recognizing Michael I as king, posthumously. But is such a thing possible, or even viable? Even this would be a complicated affair since when Michael abdicated, he was still under the rules of the House of Hohenzollern-Sigmaringen Romania, and as such regained his former position as Prince Michael Hohenzollern. So, the Parliament, would have to "restore" him posthumously to the throne, then, declare his new "Dynasty" legal, and then name his heir .
Thank you.