Martenitsa/Martinka/Mărţişor was declared "Intangible Cultural Heritage of Humanity" at the joint proposal of Bulgaria, Romania, Macedonia and Moldova (as it's to be found on the territory of those states; I think it's present sporadically in Serbia too - but Im not totally sure on that part)
what is so weird about it? genetics traces your descent. language only traces your cultural affiliation. nothing weird if you know there is a bit of distinction between the two.
if you don't get this simple concept i am afraid i cannot help you further.
After your logic Aurelian, Constantine I, or Justinian were not romans! Fine: romanians are not the folowers of Octavian, Trajan, or Mark Aurelius, but of those wannabees Aurelian, Constantine, Justinian! But I want to ask you something : considering you'd find your genealogic tree 100 generations before. And you find at the generation 91 a cumman intervenea, at 86 a greek, at 75 a mongol, at 62 and 57 some Turks, at 34 a russian...so your dna would be a mess comparing with the bulgarians from 8 cnt, you'd not feel as bulgarian?