Nope, I reject the idea that only emotionally supportive people are deserving of love. These aren't binary traits, and many of aren't as good at providing comfort in emotional situations for our own reasons:

• People who are themselves easily affected emotionally may not have it in themselves to step up right in the moments where someone else might need it.
• People who struggle a bit to respond with the same emotions as others might tend to be less able to provide emotional support for someone experiencing a thing they can't relate with.
• To borrow from the love languages concept, some people provide support in ways that aren't easily understood as such by the recipient. Perhaps more importantly, not everyone who gives love in a particular way prefers to receive love in that particular way.

I know I'm good at providing encouragement when things are going well (gunning for a promotion, trying to win a sporting competition, trying out stand up comedy for the first time), while being less able to provide emotional support when things are sad for other people (death of loved one, illness, other loss, plain old anxiety or depression). I'll try to make it up with the other stuff (mostly doing things for people, sometimes just being present), but I'm not going to pretend that I'm actually a shoulder that anyone would choose to cry on. And yet I have enriching and fulfilling relationships with plenty of friends, family, and a wife who doesn't actually ask that of me, who knew this about me long before we got married, and occasionally joked about my robotic ways. Our kids go to her when they want to cry about something, and they come to me when they want me to take some action that would alleviate the issue that made them sad in the first place (first aid, fixing broken shit, simply being hungry). I'd go as far as to say we make a great team and family unit.

I am who I am, and I still deserve (and receive) love. I think the way you look at things is too narrow and would condemn like the 75% of people who are bad at this stuff to a life forever alone, which is not very reasonable or empathetic of you.