I actually did this yougov poll, and said no to caning and yes to more lines and detention. I'm afraid the question was pretty clear and unambiguous.
Though I said no, it was because physical punishment doesn't really work any better than other forms of punishment. My former partner went to a school with a fierce 6 5" discipline master. He - my former partner - was regularly in trouble and offered the choice between a six-of-the-best or picking up papers. He always chose the cane because it was over faster. You may all like to know he is now a millionaire with a conviction for insider trading and price fixing.
I think the mothers saying 'oh, my dcs would NEVER be caned' are presupposing more justice than most schools provide. I was myself smacked six times with a ruler on the backside at age 9. I was being blamed for something that was in no way my fault; I remember it with some indignation, but it didn't ruin my life. (Oh shut up at the back there, you lot who say I probably deserve it every day
)