Be careful about confusing support/oppose in polls with salience. Most people don’t notice most political news stories, especially rather insidery ones about the workings of government (and the people who are most likely to notice will have the most fixed political views). So if you ask people if they think that the PM’s advisor should be working for other companies too people say no… (Only 18% think it is acceptable for Lynton Crosby to advise the Conservative at the same time as he works for other commercial clients) but if you ask people who Lynton Crosby is only 11% know who he is, what he does and something about him. Ask people what news stories they noticed this week cigarette plain packages, Lynton Crosby and so on don’t even show up (suggesting they must have got below 1.5%). Doesn’t mean it can’t be an issue of course, that it won’t get noticed if it has legs and is kept going.
People will answer polling questions if asked (they’re helpful like that!)… but remember it doesn’t mean they necessarily had an opinion before the pollster forced them to have one, nor that they were even aware of the story.