It does depend on how you define it for yourself. What kind of a relationship are you looking for?
I went through a phase of only dating people I thought were 8s, 9s, and 10s, and found it highly dissatisfying emotionally and intellectually - which is when I met the ex of my 20s. We were already mates before hooking up, and I had never had any sexual attraction to him before, and from memory, only had a faint attraction to him at the start of our relationship. I denied we were in one for around a year or so, before finally admitting that we were and I took myself off the market and became monogamous.
I respected him on a deep and intellectual level, he was a great guy, a wonderful friend, a loyal companion and a perfect partner, except that the physical attraction really wasn't there. I grew to like his idiosyncrasies, his little traits, and enjoy intimacy with him, but after three more years, it became apparent to me that there was something missing. But everything else was there.... and I asked myself - "surely, that must be enough?"
We ventured into an open relationship to see if it would help mitigate some of the tension, and then started working in separate cities through circumstance. We saw each other 9 months a year, then 6, then 4. I tried to patch it up with a diamond ring, a commitment, and a promise.
It didn't work. I admitted to myself finally, after seven years, that it was selfish of me to keep him and we both needed to get back into the market before it was too late. That was ten months ago.
The lack of sexual attraction did lead to the end of the relationship, ultimately, because it was too large a part to ignore, and too wide a rift to patch up. It made him insecure, it made me feel like a bad person, and feel shallow, it made me insincere trying to keep up this relationship when I no longer felt sexually drawn to him.
BUT... it also gave me the most emotionally and personally fulfilling seven years of my life so far, and I wouldn't trade it for anything. So how do you define what is important to you? Was our relationship any less real or loving simply because we didn't have wild passionate, hot sex all the time? I know that I have never felt that kind of connection with anyone before, nor since. And I still deeply love him, but am not sexually attracted to him. He is still the person I am closest to, and I know he still feels the same way. But we would never be in a relationship again.
I hope this experience helps answer part of your question.