You are claiming that if somebody argues for a reduction in welfare then it is no strawman to argue against NO welfare.
And that is what a strawman actually looks like.
eta: The kind of sparring you revel in, I've no appetite for. I've asked you maybe twenty times (hyperbole --- in actual fact probably three or four or five times) about, or at least introduced the argument concerning, other religious creation myths. You refuse to engage with that line of argument, either by ignoring it altogether, or else by dismissing it, as here, without actually discussing why; and then go on soon after to repeating your one-point focus about discussing Genesis in science class. No, it isn't whataboutery to introduce other religious myths into the argument, because it is part and parcel of the argument (or at least,
one important argument) about why or why not, as far as your specific proposal. You are welcome, even now, to clarify your position in your own words; and obviously you are perfectly free not to, if that is what you wish. But no, after having given you every possible chance to explain yourself, no, it is perfectly reasonable to make this inference --- it's actually inference, not even an "extension" really --- about where it is you're coming from.
That's fine. You have the right to hold whatever opinions you want. No matter how utterly silly, and/or closed-minded, and/or bigoted it appears to me, and no matter how disingenuous your refusal to own up to it appears in my mind. There is no reason why that should be of concern to you, at least not necessarily. (And if it is, then you're welcome to try to clarify yourself, even now. Again, you don't actually
have to.)