Well I`m maybe wrong, but as far as I`ve saw - it does not.
As you can see if you`ll try - no editor(JCE, TinyMCE) can`t be applied at template manager, because of joomla setup it this may: for file editing you can only use configured editor.
So it`s not about TinyMCE, JCE, or CM+E, it`s about template editor.
But may be support team will have another opinion and they have some solutions for this?
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