the problem is, whatever I do with the "engine: setting" there is no effect! Tried different possibilities with/without all with submit.
.... after a while ...
ok, I figured out - you definitely have to change templates first and back to get this working, which is ok for production systems.
Now to make this clear:
I turned engine to new_default, blue for example - with none of them having a admin folder.
The "myTemplate" has a very minor one, so the fallback of {TEMPLATE_PATH} at least is "myTemplate".
If it hasn't, the fallback of {TEMPLATE_PATH} is "bulletproof" and last in the row "default". So this is different the way falling back missing classes in CSS. And Yes, it is very logical, that URL path differ to CSS class settings in the way they fall back.
Now what can we do with that!?