I would prefer a politician that rights himself when he's wrong to one who stubbornly digs in his heels and won't change his mind. I really don't care if someone calls it a flop-flop or a change of opinion. If it's for the better, then that's okay.
What's "Better" often depends wildly amongst the electorate.
So if you voted for someone based on a fundamental viewpoint that you strongly agreed with (whilst vehemently hating the alternative), and then 24 hours after getting elected said politician flip flopped on their promise and swung over to that viewpoint you hated with a passion or strongly disagreed with, you'd be ok with that?
If you look at the electoral disaster of John Tory when he ran for Premier you'll recall he dug in his heels on public funding for religious based schools. It was extremely unpopular and he lost because of it. He was being stupid. He should have flip-flopped as soon as it became apparent public opinion was against it. A smart politician knows when to change direction.
So long as he had a strong opponent I'd have been LESS likely to vote for him in that scenario as I would feel the way I feel above - what else is he going to flipflop on in the future when something that I elected him for suddenly becomes unpopular amongst some?