Well, it's too hard for me to distinguish LW and DW.
From my perspective both of them are the same. LW does things for other people because he is happy than ALL are happy. DW helps people because it makes him happy. Any difference?
Some simple examples to put it in a more clearly way. If i buy some flowers for my girlfriend she is happy and it MAKES ME happy. So, i make here happy ONLY to make happy MYSELF. Or I help old woman to carry her bags. Well, I like then MY HELP is appreciated, I LIKE to have thankfulness from other, I LIKE to get attention, I LIKE to see other peoples happy, so I make them happy. I AM so SELFISH!

It looks like i'm more DW.
But I can't get why LW isn't DW or DW isn't LW?

What's the difference? For example LW makes charity firm. Now he help others a lot and it makes HIM HAPPY. It's selfish too.
LW is thinking that he is not alone.. he is a part of whole. I'm thinking the same. LW is serving the whole, because it makes HIM HAPPY, it makes HIM FEEL RIGHT, it makes HIM.. it makes HIM... I help others because it makes ME HAPPY.
Well, maybe I've to narrow view about it, but i think all people are very SELFISH.. I even can't think an example, then anybody did anything not to help himself.