Queen Ena, we have no argument here. There is simply no throne to claim, one way or the other.
However, the claim "Head of the Family" is even more bizarre, IMO. There is no "head of the family". The is a chosen "Head" of the family association but they are a long way from Imperial Russia. They are definitely multi national and quite diverse in marriages, religions and circumstances. Most simply make no claims to anything.
IMO, Maria is a good woman, does good things. But her claims, really are silly.
I know relatively little about Georgi, as he seems to just show up in the press in Euro Royal party jaunts. This should be interesting when it is time to marry him off.