I would recommend not skipping padding like this. Barely paper and heatshrink alone is not going to be enough. I've seen multiple packs like that rubbed through to bare cell casings.Thanks Cd, that's good to know. I may not use it on this pack though because it's going to be so tight for space.
The padding mentioned above comes in multiple thicknesses. I would recommend getting various thicknesses and use thicker where you can manage. Remember it can compress slightly, and the side covers of the Bomber will help compress the sides of the pack more easily.
Cheers