You might find that you have to explain this concept rather than give a one-word answer if someone asks, “ What are you?” Better yet, explain why that question is limiting in and of itself. As far as labels go, it seems that there isn’t an agreed-upon term for someone who doesn’t believe in sexual orientation and thinks that it’s possible for any person of any gender to love any other person. Just as labels change over time, so too can a person’s sexuality. Sometimes the changed usage of a label empowers groups of people, such as the embracing of the word “ LGBTI+” by some lesbian, gay, bisexual, transgender and intersex people. Being able to describe oneself with a word or term that is shared with others can help an individual form a community with people who might have similar experiences.
While labels are limiting, they can also be useful or even liberating sometimes. It appears that you’ve been thinking about this a lot, and though you profess that you don’t like labels, you still find yourself searching for one. We live in a society that, unfortunately, likes to put people in boxes with simple labels: gay, bisexual, black, white, etc.