You could pick anything and say that for some people it is one factor amongst others. So, instead of the wording itself being significant, it is the fact that he picked that factor. He implied that it was a very significant factor.
In reality, it has more to do with selfishness or the idea that the poor are undeserving. Or that the government can't afford it, or any number of reasons. That's for the arguments against welfare etc specifically, many people are against big government in many areas, such as liberals who are against the defense budget.
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