It is never an easy decision and a sacrifice to leave one’s country, to leave friends, family and home behind. No one does it easily, unless there is little choice. So yes, personally I would welcome the poor as well because they can and do contribute a great deal as well.
I know a number of Syrian refugees and they, like us, just seek a peaceful, safe life for themselves and their families, with the freedoms we enjoy, but they know they will always remain foreigners in another land, and would still rather not have had to leave their homeland.