Automatically adjusted ImageSize across a column

Question

Button has this nice property that all Buttons in e.g. a Column will span to the size of the largest one:

Column @ Table[Button[i!], {i, 1, 16, 5}]

That is not the case in general:

Column @ Table[Framed[i!], {i, 1, 16, 5}]

Button has ImageSize -> Full but if we set it for Framed it get full width of the parent cell.

Is there a nice way to obtain Button's behavior in case of Framed/Pane and other GUI elements?

Possible workaround may be 'wrapper dependent', I'm especially interested in fixing this:

Column @ Table[PaneSelector[{True -> Button[i!]}, True], {i, 1, 16, 5}]

Answer 1

I just dug up some option called BoxExpandable which does this job. I found it by inspecting the set of FrameBoxOptions:

CurrentValue[$FrontEndSession, {StyleDefinitions, "Input", 
   FrameBoxOptions}] /.

 s_Symbol?(StringStartsQ[SymbolName[#], "FrameBoxOptions"] &) :> 
  StringTrim[SymbolName[s], "FrameBoxOptions"]

{"BaseStyle" -> {}, "DefaultBaseStyle" -> "Framed", 
 "Enabled" -> Automatic, 
 "Appearance" -> {Automatic, "Framed", "Normal", Automatic}, 
 "Background" -> Automatic, "ImageSize" -> Automatic, 
 "ImageMargins" -> 0., "FrameMargins" -> Automatic, 
 "ContentPadding" -> True, "BaselinePosition" -> Automatic, 
 "Alignment" -> {Automatic, Automatic}, "BoxFrame" -> 1., 
 "FrameStyle" -> {}, "DefaultFrameStyle" -> {}, 
 "BoxExpandable" -> False, "StripOnInput" -> True, 
 "RoundingRadius" -> {0., 0.}, 
 "BoxMargins" -> {{0.4, 0.4}, {0.5, 0.5}}}

Unfortunately this only handles in initial case as it is missing from this:

CurrentValue[$FrontEndSession, {StyleDefinitions, "Input", 
   PaneSelectorBoxOptions}] /.

 s_Symbol?(StringStartsQ[SymbolName[#], 
      "PaneSelectorBoxOptions"] &) :> 
  StringTrim[SymbolName[s], "PaneSelectorBoxOptions"]

{"BaseStyle" -> {}, "DefaultBaseStyle" -> "PaneSelector", 
 "Enabled" -> Automatic, 
 "Appearance" -> {Automatic, "Palette", "Normal", Automatic}, 
 "Background" -> Automatic, "ImageSize" -> All, 
 "ImageMargins" -> Automatic, "FrameMargins" -> Automatic, 
 "ContentPadding" -> True, "BaselinePosition" -> Automatic, 
 "Alignment" -> {Automatic, Automatic}, "AutoAction" -> False, 
 "ContinuousAction" -> True, "TransitionDirection" -> Horizontal, 
 "TransitionDuration" -> 0.5, "TransitionEffect" -> Automatic}