I just remembered these things have solid little tabs in them someone would have to try and snap off without ruining the back or using a dremel/auto nail file on them to remove smoothly.
Also I did the test on the SNES clamshell. Perfect size yet again, but this time, 10 to a side instead of 8 for the GBA games. I just remembered, stopped writing this here. More info for you. The SNES shell can comfortably hold 4 GBC tall rumble included carts standing on end in there as they're thicker. As far as Gameboy goes, sloppy. Laying sideways you can get three, and standing up vertically just 2, so you can get 10 in there with some rattle.
Ideally the SNES clamshell is excellent for GBC rumble games (holds 4, there's probably only 4 worth even owning though there are more) and GBA games you can get 10x2 (front/back) at 20 total to a case.
EDIT: Upon further inspection, the tabs on the SNES one would not need to be removed for GBC rumble cart games. If you face them backwards (Super NES logo away) they actually lock in there firmly as the tabs kind of hold them very well in place. You could also hold 3 inside the NES sized shell too with no room to spare havnig 2 side by side and one laying sideways above. I've got Pokemon Pinball and R2R Boxing so I can spot it. I really still need to get that Star Wars Pod Racing game for GBC sometime as it's solid.