Perhaps so. I was looking at this photo of the four rifles on display, but it is of course a different rifle and mount from that shown on the modified Springfield.
What I took at a glance to be the "button" on the lever of the schnappmontage may in fact be a clamping or windadge adjustment cross screw. The ring does look rather massive so that in itself would not suggest the schnappmontage, but some post war design. I can't think of any WWII designs with such a massive front ring.
Looking at it now much enlarged, it looks like the vertical portion extends over what appears to be the base, suggesting a male dovetail base with a tightening cross screw?