The larger ones do not fit the green label GVG.  I also ordered black this time and it is significantly softer and easier to break than the white disks.  So it seems like I'll stick with my original smaller, white disks. 

I may possibly shave one of the large black disks to fit, but all attempts so far have led to them crumbling in large pieces.

So, for owners of the newer GVG with the lip, the larger ones are not the way to go.  The white disks also seem to be the better choice to avoid breakage.

My next attempt will be to get a new GVG silicon foam piece which seems to be higher quality than the lifesaber flavor disks, while also, being the perfect size for the GVG.

I shall report back when I get one of those.