Your immediately family shares hundreds of thousands more variable sites in your genome than a 'random' individual. Which is to say there would need to be something like a 2^(100000) population of humans before someone 'random' would be as close to you in terms of variable sites.
I guess my point being "you happen to share 0.0001% more DNA" is just not trivial or a small coincidence that can be waved away with "we are more similar to each other than not". Whether any genetic similarity means that one's biological family deserves one's attention, I have no comment.