All leavers want a managed no deal. There's not a single major Brexit figure which does not support this route, and I challenge you to find one. Are you judging Brexit by Theresa May and Hammond or what?
i include the charlatans who said they wanted EEA or EFTA before the referendum and the people they misled into thinking the government would consider it in those figures, so perhaps i have a higher perception of support for such things as you do. i recall one leave figure saying they're surprised we haven't found a compromise option by now, but i cannot recall their name.
It does, because it means we can close the chapter on EEA and ignore what the 48% squeak.
you cannot, because the number of leavers who would support EEA over no-deal is non-zero. combine that with the number of remainers who would prefer EEA over no-deal and you have a nice little faction going. the only way you can get majority support for no-deal is to take away every other option other than remain, and even then you have to deal with the occasional "actually people want to stay in the EU now!" poll cropping up. i'm also interested in what your "managed no deal" actually is, considering i've seen several experts say such an idea is nonsense.
though, as always, the public want different things and conflicting things every few months depending on what polls you take and when, which is why this whole thing was a bad idea in the first place.