MXP
Established
As Andrew says, some play is normal and the camera would have to be very worn for this to be the problem. Looking at your photo, I don't think this is what's wrong. I really do think you need to backsight your camera. Basically, you tape a piece of ground glass, with a thin black asterisk shape drawn on it, to the film plane. You set the camera on a tripod with an SLR looking into the lens from another tripod. Adjust the SLR's lens to infinity and adjust the focus on your Bessa. When you can see the asterisk shape most sharply in the SLR's viewfinder, the rangefinder's lens is properly adjusted for infinity. Both lenses have to be focused for the same distance in order for you to see a sharp asterisk. I'd bet yours is off.
I have never tried the SLR method but I checked with some atennas far away using a ground glass on the Bessa. The SLR method is worth trying. Since I have some sharpness in the center and unsharp away form the center the lens is probably not parallel? .....if make asterix also in the corners I should be able to see this.
The scanning is done on a Nikon 9000 using glass holder.....so scanning results is what I also see using a magnifier on a light table.
Thank you so far with your comments and suggestions. If the pressure plate has pressure enough it should be able to hold the film so it can't "pull back".
I have just made some test images using a 6x9 Linhof Techinka with a brand new Super Rollex back. Results here are very different and I noticed that advance mechanism does not allow the film to "pull back". But of course it is another level of camera.