Yes. Regular glues require closely matched surfaces to work. They will not fill gaps. And, don’t be misled by the way polyurethane glues foam up and fill gaps. There is no strength in that foam!
I downloaded your model and worked from it. I don’t know why we got different values. it’s possible I botched some detail…but you get the idea.
Edit: Yep. Revisiting @DaveR 's animation I see that I didn’t measure the angles correctly. The guide in the front face needs to be perpendicular to the edge of the board because that’s the cutting path of the saw. I should know better
Edit 2: After screwing my head on right, this is what I got:
Note that it is important to measure at the joints between the boards, not at their middles because the largest and smallest angles happen at the joints. Cutting to the middle angle will produce gaps at both the inside and outside!
Also note that there are two bevel angles at the joint between two boards, one for each of them because their surfaces are not parallel. The difference in this model is quite small, but it is there. Here I drew guides for both the second and the third board and marked their angles. I also marked how the guides are perpendicular to the respective edges but are not quite the same. That’s the nature of the “rolling bevel” we were writing about earlier when the surface is a sequence of flat faces rather than a true curve!