Why don’t those who champion refugees and immigrants offer to take one in?

One of the ploys of the pro-choice contingent about unwanted children is why pro-life people don’t adopt one. Using the same ideology it would be fair to ask why those who champion refugees or immigrants, over any executive order or government mandate, why don’t they volunteer to take on in and be responsible for them until such time their paperwork ls finalized. If it means easing entry for some refugees why would a person supporting their cause not take them in?