No, ratings and testimonials do not affect your visibility of shifts or ability to apply for shifts.
However, just like how a facility's ratings and testimonials are visible to you, your ratings and testimonials are visible to facility managers, so they may use this as a decision-making tool to accept or reject your application to shifts. In a similar way to Uber and Airbnb, you may choose to accept or reject a driver or a place to stay based on ratings and testimonials.