It can be removed but you really have to rotate the master cylinder 90 degrees. A little man handling is required getting the brake booster out. Can you say twist and turn. The flex lines between the MC and the ABS HCU are what gives you the access. I did it several weeks ago. I didn't think I could get it out, but I did.
Removing the air box won't help. All the hard brake lines will remain in place even with the air box removed. Pulling the MC out all together will make the job very easy, but then you may need to bench bleed the MC, and bleed the entire brake system.
Do a search for brake booster. There are many threads.