Relationships and love without sex can and do work. Shannon and I both read this web comic called Girls With Slingshots that we both love. There is a couple on there where one person is asexual and the other is allosexual. And they have a great relationship that works for both of them. (You’ll have to dig back a bit but you’re looking for Erin and Jaime’s story lines.)
Also, if you haven’t found it already, you might be interested in the Asexual Visibility and Awareness Network. It is a great and pretty comprehensive site with a ton of information for people on the asexual spectrum. There are also forums where you can talk and ask questions just like this one and get advice and information from other people who identify as asexual (instead of us, who have only an outside view of what it’s like to be asexual. The best information always comes from those who experience it firsthand.)
Now, I want to address the second part of your message. Lesson one of the Internet: NEVER READ THE COMMENTS. Comments sections of online articles are literally where humanity goes to shit itself and die. Next to most of Reddit and 4chan, comments sections are the WORST place online.
No one owes anyone else sex, ever. Plenty of relationships are healthy and happy without sex or with very little sex. Every relationship figures out what the right balance is for them. Not everyone is going to be on the same level as far as sexual contact is concerned but not everyone is right for you either.
If you desire a romantic, but not sexual or mostly not sexual relationship, it is entirely okay (more than okay, actually, expected) to expect that that boundary will be respected from your partner. In the case of our romantic asexual cartoon pairing of Erin and Jaime, Erin is okay with Jaime seeing other people to fulfill a sexual need. An open or poly relationship might be feasible if it’s something everyone is comfortable with if you date someone who is more sexual than you.
Or you can simply date other people on the asexual spectrum. People who will understand and match your level of interest in sexual contact.
Please please please do not internalize that terrible misogynist mentality that all relationships must include sex. Even couples who are sexual and enjoy sex go through periods where sex is not a priority or an interest. Sex does not define a relationship, the people involved in it do.