Being a refugee should not be (and isn't) a blank cheque to settle in whatever part of the world you want, financially supported by the locals regardless of whether they want you there or not. If it were that would be a perverse incentive to actually try and make your own country collapse, as it'd be easier to claim "refugee" status than fix domestic issues. This is doubly true given that some people are fanatical about the issue of fully open borders regardless of downsides, and will immediately expand the definition of "refugee" to incorporate anyone at all. The concept of a "climate refugee" is already being promoted, for example.
Combined with the argument you're making here it is just a cynical attempt to hijack people's good natured desire to help genuine war refugees, into jackhammering unlimited migration and open borders into society without consideration of any costs. This must not be allowed to happen as this kind of abuse will ultimately result in the collapse of support for any kind of refugee and asylum support.