I think you're going the right way. Life is problematic without problem solvers around at times. Empathetic feeling is real to me too.
There should be empathy in every society. I believe you have been dealing with problems. Everyone would be dealing with certain problems too. Life is never free from a kind of problem.
I believe people who are in need are suffering too. These groups of people need someone to share from their own burden. Life won't become burdensome for some people alone, with sharing of empathetic ideas and words from others.
I agree with you. But, when there is a problem, there is a solutions too. We all need to focus more on finding solutions rather than thinking about problems. And, the way we handle all the problems in our lives, defines us.
Really, you are doing well with that approach to life. Problems come with their burden. Empathetic feeling reduces what is burdensome for the concerned, and then the person distributing this attitude.
Life can't be all about problems. We are problem solvers while believing that problematic situations could be identified by their own solutions. This approach to problem solving requires actually empathizing with those affected people to start right off.