Personally, I thought that design number two would be the most popular, but I was wrong. It came dead last.
If the hamburger button impacts discoverability, and is seen as bad UX, why do most mobile sites…
Chris Kernaghan
3685

I think an accordion menu isn’t all that different from a hamburger menu, it’s still a hide-all button that opens up a menu. So it’s got similar flaws, yet is less widely used these days — and, in your mockup, in an unusual position. So I don’t think the result is surprising.

However, I would wager that option number 3 would have been the most popular if the menu had been up top. As you said, people are primed to look for the menu icon in a certain position (top left or top right). At the same time, one problem with the hamburger menu is that it is often a garbage bin for everything, so people don’t know what’s in there yet have to look into it for everything. In option 3, as well as the basket, the wishlist is directly accessible. This defuses the hamburger’s usability problem to some extent …