Why would an open heart liberal have any concern with welcoming refugees?
No liberal would want millions of people coming from Afghanistan, for example.
But when it’s the best part of a billion people - at a rate of 4:1, that’s a different question.
Leaving aside what you hear on the internet, I personally know a few people who say they have no concern welcoming any number of refugees, a couple of them actually to the point of getting quite enraged at people who do have different opinions. So there definitely are some such people in existence.