How can you have a meaningful two-way relationship with something that doesn't exist? This is why the people on this board have been trying to explain to you that this thing you're going on about is not a sexual orientation.
You are free to craft your identity around whatever you want, but I'm just saying what you are doing is really immature, and that's the most generous appraisal of your behaviour you are likely to receive.
Well, I have already agreed that it is most definitely not a sexual orientation. Sexual orientation is all about gender, not species or anything else.
With regards to how I could have a meaningful relationship with a fictitious being? I can't. I am aware of that. They don't exist.
But within the furry community, that doesn't really matter. I do not think of humans when I think of my furry friends, rather I think of the characters they have created to represent themselves. Thus though these characters do not exist physically, I couldn't care less. That's what my friends are for.