Accelerator keys for `TActionToolBar` not working - delphi

Question

I cannot get the accelerator keys for a TActionToolBar to work.
This is what I am doing (reproducable in D2006, XE4):
Select New -> VCL Forms Application
Add ActionManager1 to the form
Add a new action Action1 in ActionManager1, set caption of action to &Test
Add ActionToolBar1 to the form
Add an item to ActionManager.ActionBars and set ActionManager.ActionBars[0].ActionBar to ActionToolBar1
Add an item to ActionManager.ActionBars[0].Items and set Action to Action1
Set the Action1.OnExecute event to show a message
Start program --> toolbar is displayed just fine and works via mouse
Press ALT+T --> nothing happens, but a Ding sound
What step am I missing?

Answer 1

As the existing answer points out, action toolbars do not support this functionality.
My personal opinion is that, this has been overlooked. Toolbar buttons often showing images instead of text might be one reason to do so (at least it was for me). However, evidently, toolbar buttons have the functionality when they show their captions, so could the action toolbar buttons.
#Silver points out in a comment that action bars have the capability to find accelerated items. In fact action menus use that functionality. Same functionality could easily be integrated into TCustomForm.IsShortCut for action toolbars, which already iterates action lists to find possible shortcut targets.
We can override the method and do it ourselves. Below example gives priority to default handling so assigned shortcuts will suppress keyboard accelerators with the same character, but this logic could easily be reversed.
function TForm1.IsShortCut(var Message: TWMKey): Boolean;
var
Item: TActionClientItem;
i: Integer;
begin
Result := inherited IsShortCut(Message);
if not Result and (KeyDataToShiftState(Message.KeyData) = [ssAlt]) then begin
for i := 0 to ActionManager1.ActionBars.Count - 1 do begin
if ActionManager1.ActionBars[i].ActionBar is TActionToolBar then begin
Item := TActionToolBar(ActionManager1.ActionBars[i].ActionBar)
.FindAccelItem(Message.CharCode);
if Assigned(Item) and Item.ShowCaption and Assigned(Item.Action)
and Item.Action.Execute then begin
Result := True;
Break;
end;
end;
end;
end;
end;

Answer 2

It seems that accelerator keys are not implemented for TActionToolBar - so no steps missing.
The following is not a real solution but a workaround that adds shortcuts by parsing the captions of the action (thanks to the suggestion of #KenWhite). A real solution for the question you will find in the accepted answer. I'll keep that answer for reference anyway:
uses System.Actions, System.UiTypes, Vcl.Menus, Vcl.ActnMan;
procedure AddShortCutsFromActionCaption(AActionMan: TActionManager);
var
Act: TContainedAction;
AccelKey: string;
I: Integer;
begin
for I := 0 to AActionMan.ActionCount - 1 do
begin
Act := AActionMan.Actions[I];
if Act.ShortCut = 0 then
begin
AccelKey := GetHotKey(Act.Caption);
if AccelKey <> '' then
Act.ShortCut := TextToShortCut('Alt+' + AccelKey);
end;
end;
end;
AddShortCutsFromActionCaption must be run once for ActionManager1 after the localization is run. That way the different accelerator keys for different languages remain functional.
If a shortcut already exists or if the caption of the action is modified, this workaround will not work - but for my purposes this is okay.