The things I do with words are just some antics

[Jim Lane]

12. There's sometimes a choice between honest descriptions.

The OP's example isn't perfect because one can imagine forms of assistance to the poor that aren't generally considered "welfare" (job training, for example).

Years ago I saw similar poll results:
* "Should a woman have the right to go to a doctor to terminate a pregnancy?"
* "Should a woman have the right to go to a doctor for an abortion?"

To my mind, both of these are honest statements of the question. The percentage of respondents willing to endorse the "abortion" right was considerably less than when that word wasn't used.

I don't see anything wrong with reframing when it means thinking about different, equally accurate ways to state a question and picking the one that will get more people to agree with you.