The practising of unconditional love can been a burden and wonder if it is at all possible to truly love unconditionally, taking the word as literally meaning : without condition? This translates into being without judgment and putting the recipients well being and feelings first at all times.
Let me have a go at this. Just remember small mind, small thoughts, so do not expect much.
Of course as humans, we cannot love unconditionally, no more than we can live a sin free life, do everything perfectly, etc. That does not mean that we cannot make it a goal and work toward it in all of our dealings with others.
One of my favorite sayings is, "Once my hero, always my hero." What that means to me is that if you become friends with me I will be your friend no matter what. I would submit that this is one definition of unconditional love.
I certainly do not get a financial gain or an increase of social stature from my friendships, nor do my friends get them from me. What they get and I get is a smile when we meet, help when needed, consolation when sad. That love can never be a burden.
Can we love unconditionally like Jesus did? Probably not. Can we do a pretty fair imitation? Yes. Is it ever a burden? I don't see how it could be.