Well the ABC's Vote Compass would suggest otherwise:
http://www.abc.net.au/news/2016-05-16/vote-compass-malcolm-turnbull-tony-abbott/7413770
And before you shriek "OMG, leftist ABC what a surprise," have a read of the article first.
46% of Coalition voters were either somewhat or much less likely to vote Coalition if Abbott were still there.
I'm the far right would have swallowed "Ummmm ahhhh Stop the boats, ummmmm ahhhh axe the tax," though.
The article, regardless of who wrote it, does not deal with what I discussed. It has also been proved wrong, with the benefit of hindsight showing that where it mattered, in the marginal seats, it did matter to voters that Abbott was axed - big time!
It was also written a month and a half ago, before Turnbull dished out the most limp wristed and ineffective election campaign in living memory.
I pointed out that Abbott would have fought tooth and nail and hammered home the slogans and one liners. You may laugh at "axe the tax" and "stop the boats", but they delivered him a landslide victory only 30 months ago.
The same way that dumb Australians swallowed the "Privatise Medicare" scare campaign that Labor unleashed, this is simply what the bogan majority respond to. All Turnbull could come up with during an 8 week campaign was to reduce Super benefits to an aging population, and to Tax Companies less. The bloke is a political myth who should have stuck to the boardroom.
We simply don't know how the Coalition would have fared under Abbott, but his election form shows without a shadow of a doubt he would have given the campaign a massive shake and gone down scratching and scraping like the best of them, unlike the bloke who knifed him in the back.