Just a heads up. As a regular user of many bulletin boards, a moderator and board co-administrator of a few too..... I find it is more the norm to have the "post edit button" send users to a default quick edit screen with a button tagged to it that can take users to a full edit mode if they want.
Your present system of defaulting to a menu to choose your prefered edit mode is pretty atypical. I find myself waiting for the typical quick edit screen to appear. Takes me a moment to remember..... "oh yeah"..... "I keep forgetting". "This board's system is an oddball and I got to choose one".
I suspect I'm in the norm of finding the existing method a bit of a PITA with it being so out of the norm.
Just something to consider next time someone is in the admin menu's. Im betting that setting "quick edit screen" as the default for the "edit post button" is just an easy change of a menu setting; though I could be wrong.