A couple of points regarding the 'Senarclens' ancestry of the Battenbergs:
1) Julia Haucke was the incumbent of the title of 'Princess Battenberg' - her husband was not mentioned in the letters patent - this seems strange as normally the husband would receive the honour. Historians seem to concur on this point and agree that the honour was given to her as Alexander was not recognised as a Hesse. He was eventually recognised as OF the 'House of Hesse', but not as the legitimate son of the then grandDuke
2) I am a Loriol descendant and my father was quite a good friend of Prince Philip. the latter always wrote and talked to him as 'cousin'. It is widely, but not generally, acknowledged that the Loriols cousin with the Mountbattens, especially in Switzerland where titles and ancestry does not count for much.