Emotion is a link between your readers and your characters--it lets your readers participate in the story by feeling the same things your characters are feeling. That's why emotion is so powerful. It makes the story come alive. A story without emotion, or with a protagonist who either doesn't experience emotion or can't relay it to the readers, feels cold and mechanised, an interesting mental exercise but drained of all the human qualities that make stories feel real and important.
However, intelligence is just as important and for whatever reason it gets neglected far more often. Believe it or not, lots of people want to read a story that makes them think. Some people get as much of a kick out of having their minds blown by a story as other people get out of having their hearts torn out by it. Your story needs to not only make sense, it needs to challenge your readers' minds.
Love does solve problems, but you as the author can't just say love solved it; you have to show exactly how love solved this problem. Yes, it's sweet that kissing him saved his life, but unless there was CPR involved, we the sceptical readers aren't buying it. It feels like a cop-out on the part of the author, no matter how sweet or feelsy it may be.
Don't be lazy. Make your stories make sense first, then pack in all the feels you want to afterwards.