I think you have one very smart mouse. ;)
If a mouse could disguise itself as a bee and, in my presence, fool me into thinking that it indeed was a bee chewing at the wood then you would have the correct answer. ;)
Well, it really comes down to what type bees you have.
I have mainly Russians and carni bees. On those instances where in the heat of the day I have forgot to open the entrance upon moving bees, only to return a week later, my bees all died in the hive without the ability to chew hole through the wood supers. They must lack this ability.
You probably have Italians, or perhaps buckfast. Some feral bees also have this ability you mention. Those bees actually have small teeth, allowing them to chew wood, etc. When I string comb into frames for cutouts, it is amazing how fast the bees chew through the rubber bands and/or string.
The ability to chew wood, enlarge entrances, build their own cavities in trees, are on par with woodpeckers and other creatures. I know if I leave on insulated boards as top in the spring, they will also chew holes in that. Seen it many times. And now that I think about it, the bottom back corner of the box, as you mentioned, is one of the places I find the most holes chewed in boxes. I'll take some pictures today and post them. Sorry I misread your comments.