Yes. Extension tubes can work with lenses that don’t have a manual aperture ring.

The main difference between cheap and expensive tubes is usually whether they include electrical contacts between the camera and lens. Tubes with contacts let the camera control the lens aperture and pass other lens communication through normally. Since extension tubes contain no glass, they do not improve or reduce image quality by themselves.

Cheaper tubes often have no electronic contacts, so aperture control becomes awkward or limited. Depending on the system, the lens may default to wide open or fully stopped down unless you use a workaround. Build quality also varies: more expensive tubes may have better construction and metal mounts instead of plastic.

Autofocus may become unreliable or stop working with extension tubes, especially with longer extension, but that is a normal limitation of extension tubes rather than a sign of poor image quality.

So: yes, they will work, but for easier use with modern lenses, extension tubes with electronic contacts are usually the better choice.