This is probably similar to my preceding question:
but I'm not sure it's the same, because this time my argument is unduly extended by the other debater in order to make it false. My argument is:
old people without a pension demand State-provided healthcare
Now, if one wants to quibble, this statement may already be false because of course there may elderly citizen without the financial means to sustain their increased health needs (healthcare costs increase with age), which however don't expect support from the State. However, I think we can all agree that it has a high chance of being true for the majority of old people without a pension. The debater modifies it to
old people demand State-provided healthcare
which is clearly bullshit (many old, rich people definitely don't require State-provided healthcare for themselves, and may even be against extending such coverage for others, since it would likely require for them to pay more taxes).
What's the name of this fallacy, or pseudo-fallacy, or rhetoric? Not sure it's technically a logical fallacy, but I still think there may be a name for it.