Can "Strictly" be far behind?
Though it was alarming how few people in Scotland polled as knowing who Kezia Dugdale was even during the time when she was on telly every night telling us how awful the SNP was and the Tories looked like a fair bet in certain seats *wink wink* during the last election. If you're relatively immersed in politics, it can come as a surprise how little consistent attention some folks pay to it. That's maybe why we're in the mess we're in!
But I'd agree, your average Tory member (a grisly mental image after a heavy supper) is probably quite clued up about the doings of the party.
Not wishing to up Davidson's profile even more, but apart from the self-inflated mythology that's built up around her as an "SNP Slayer" etc. etc. (just don't show her the latest polls up here), I suspect one reason she polls relatively well among Tories at the moment is because she fits the profile in the poll I mentioned down yonder in my "sidetrack" reply:
The only person who the public thought would do better than May was a generic someone quite young and able who is not currently in government
which, of course, is a recipe for respondents to imagine an ideal candidate who may very well not exist, especially not among the select group of people with a reasonable chance of winning the leadership of the Conservative party.