I have tried with a rough replication of the Body to accept the Projection.
Hopefully it is not too far removed from the actual assembly you have shown?
The Projection failed to appear on the four Faces
The ‘rounded’ Face was the only one to accept the Projection as expected.
The others aligned a copy of the Sketch with the angle of the Face but offset from the Face.
Several attempts to treat each of the four Faces individually, in pairs and all together ultimately caused S3D to Crash.
The File has been Uploaded for investigation.
Hopefully we will get a result.