There's absolutely nothing wrong with being fascinated by your genealogy and your family's history and origins. Everybody could use a hobby, and learning about history and different cultures in good for everyone. But it doesn't have to be related to your 'heritage' at all for it to be worthwhile.
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If you had done a lot of research on your ancestors, only to discover that you, or a parent or grandparent had been adopted, and your genes came from a totally different part of the world, would you have wasted your time? Not at all. Nor if you had investigated the roots of a friend, or had just picked a culture that appealed to you and delved into it.
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'Blood heritage' isn't really a real thing. Genetics are only relevant insofar as they predispose you to hereditary diseases. You aren't bound to appreciate only those cultures whose members left traces in your chromosomes. It's a wide world, and much of it that's worth appreciating may have no physical link to you. And if you find some intellectual or spiritual link, that's not 'appropriation'; that's curiosity, appreciation, and hopefully understanding at the end of it.
@DavidSalo Appreciation is like Jack Skellington as he sings, "What's this?" Appropriation is him trying to be Santa.