I've not seen a bombing mission with 1 RNAS yet either in 48 missions. Though it may be because our BEs aren't equipped for bombing. Ambrose gets quite a few bombing missions in his Morane.
You're in a Morane now, and as will be seen when Alice gets her letter tomorrow, so is Alvin. A dozen missions in that deathtrap should show if it's just the BE, or if the RNAS doesn't believe in bombs.