I did the compartment mod to store more junk and would easily fit the compressor ...look up storage compartment mods on this forum. From there you can see lots of room made and easily. You can also look up compressor storage...many threads on that too.
I believe that the storage compartment was more designed for road assistance stuff in other countires. a road warning folding triangle and the straps to hold it.
its a little thing ....but toyota could have made a storage unit that did not have the triangles storage and made one big open area for countries they did not also supply the triangles.. They could have also made a smaller storage on the driver side. Prob would have added $1 or two in production...Id pay 10 for a factory molded compartment and a access door driver side now