In Scotland? I'm extremely skeptical.
I've not heard much, if anything positive about May, but Davidson is generally highly regarded, even if very few actually vote for the Tories in Scotland.
[1] I avoid the BBC comments like the plague, for the same reason I avoid the Daily Mail.
[2] I was born and grew up in England; I've lived in Scotland for the past 22 years.
The Labour party have traditionally been very strong in Scotland - the Labour party was a party for life, and many people only every voted Labour. However, this has all changed over the past year, as they have effectively self-imploded to the point of uselessness. I cannot overstate how much of a breakdown there has been within the Labour party, and people who had previously only ever voted Labour are now voting differently.
I'd argue that much of the Conservative party's gains have come from people who will simply no longer vote for Labour, rather than a move towards the Conservatives themselves.
From mid-september 2016. Couldn't find a more recent poll.
As I understand it, the poll which they based that article on didn't even ask the same question for each of the leaders, so the final results can't be seriously compared.
And of course "doing well in her job" doesn't matter much if 38% of Scots vote SNP vs 16% Tory voters (from the Yougov survey).
The clue is the quiet dropping of demands for Full Fiscal Autonomy over the past few years. There isn't close enough savings to made from things like Trident to enable even a credible deficit to be run. The level of spending cuts / tax rises required will be of the level that only an IMF intervention normally brings - far, far beyond anything Osborne did over many years.
I'm an ardent supporter of independence, but I don't doubt for a second that it will be difficult to build a strong economic case – in no small part because of the level of uncertainty we are currently dealing with. But I'm quietly confident that the independence movement will have learned a lot from the previous campaign and will avoid making mistakes it perhaps made in 2014.
Politically, the case for independence is on the downside; both Theresa May and Ruth Davidson have higher net satisfaction rates than Sturgeon in Scotland, and the likelihood of a general election before EU exit is getting higher every day, but for other reasons. Peak Sturgeon has come 2 years too soon.