It would, since feedback is how the switching is controlled, without feedback, there can be no switching.There are three main types of encoding. One is 'self oscillating' which requires feedback and the feedback sets the switching frequency. So for that type the above statement is true but for Pulse Width Modulation and Pulse Density Modulation the statement is false; the latter two can be operated without feedback.
The Technics model is different though. It uses digital signal processing to compensate for the speaker load, and then is a pure digital amp with no feedback ( I believe )Its a class D (switching analog amp) with digital control. Bruno Putzeys, one of the top class D designers, has a nice article on why class D is analog and digital isn't:
https://www.hypex.nl/img/upload/doc/an_wp/WP_All_amps_are_analogue.pdf