In fact, I've found a bug. The Text Frame menu was not removed from the AD completely. It can be still accessed from the "text on path" top panel. However, if you edit, e.g. a stroke, it will be applied to any further artistic text, even not on a path. To remove it, you have to start text on path again and reset the Text Frame parameters.
Also, I not only find it completely non-sense to remove the Text Frame feature from AD, but quite the opposite in fact - Text Frame shall be accessible from everywhere! I do have Publisher, but I feel rather retarded to use two separate apps for editing a frame of the text. Thank you.