"The screw and washer I use are not integral to the cage", "The screw and washer acts as a plate to keep the cage in the correct position". To me this reads as conflicting, and that the screw is then integral to keeping the cage in position. Here is the description of the code on codify, specifying screw involvement. I believe it depends on cage type.
The provider inserts a metallic cage or mesh device between two vertebrae and may use screws or flanges to attach it to the front part of the vertebrae; the device maintains the disc space, provides spinal stability, and yet preserves some range of motion, which helps relieve persistent pain caused by a herniated, or bulging, disk or other spinal condition. The provider performs this procedure during a spinal interbody arthrodesis procedure, which is fusion, or permanent joining, of vertebrae over the joint space.
CPT Assistant March 2017 states the following:
Code 22853 includes the integral anterior instrumentation for device anchoring that is part of some devices, such as a screw or flange that goes through the biomechanical device to anchor the cage into the disc space. The device anchoring is not the same as anterior instrumentation, which is reported separately when performed. Anterior instrumentation of the spine is denoted by the ability of the instrumentation to stabilize the spinal segment(s) as a standalone device without the cage present, such as with anterior cervical plating or anterior rod system fixation. If the plate is “integrated”, and only used with the cage to keep it in the disc space and not able to be used as a standalone device for biomechanical support such as in a fracture or deformity, then you would not report 22845 and just 22853 or 22854 only. In addition, use of a posterior instrumentation to stabilize the spinal segment(s), such as posterior lumbar pedicle screw fixation, is reported separately.