I've stared at this and pondered it for quite a while now. From the way it appears to me, I think it's pressed. Now it may be appearing wrong, but hear me out.
The crosshatching - I'm afraid I still don't understand. Are the lines raised or cut back? Maybe it's an illusion, but to me they look raised. This would be extremely hard to do by cutting.
The sides of the glass look convex. Is that right? This, too, is very difficult and time-consuming to do by cutting, and it would have been necessary if "the piece was thicker and they cut back all the areas around the shields, grids, raised portions." I reckon maybe that's one reason why when you find a Biedermeier piece with areas cut in relief, you also find cut facets, like on my goblet. Much easier shape to cut. And when they are cut, the optics are excellent, with little distortion in the glass. Yours shows a fair bit of distortion.
Sorry! I'm not trying to insult your glass or anything. I think it's really cool if it is pressed. Chances are it was made at Novy Svet - well, maybe. Who really knows?!
But I could be seeing things wrong. You've got a better position from which to see its finer points.