It's not clear to me by the language of the law whether "consideration of his vote or the withholding of his vote" regards voting per se, or voting a particular way/for a particular candidate. Is this open to interpretation as to this question? For instance, could a restaurant owner offer discounted prices only to people who voted, regardless of the candidates and proposals voted for? Could a person in NH pay someone to vote or not vote regardless of the details of the vote?
This seems to be legal to my untrained eyes because government employees commonly give small in-kind payments to people who vote, for instance pens, masks, and stickers, but perhaps that would be a crime if instead the amount of money equal to a pen, mask, and a sticker were given.