Who is blaming immigrants? Seriously, I haven't seen that take.
You could put part of the blame on immigration targets/the system though. It's not "RaCiSt" to know that if you don't have enough housing as it is, that adding more people who needs homes won't help the issue (unless they are all here to build homes?).
I feel like I'm taking crazy pills when I need to explain to adults how addition and subtraction works.