Pointless. To have sound proofing, you need to reduce sound transmission. Sound is propagated as waves through air as medium in the dominant case, and secondarily through more substantial physical entities such as water, brick walls, timber construction and sp forth. The transmission through a timber wall construction with about 75mm of insulation might give you 10dB of sound reduction. You will have to reconstruct your doors to have an air lock, like in most studios. Double glazing helps, and single glazing is pointless. Ultimately , you want a room within a room for SOUND proofing.
There are several sources that you can consult, and these days any public library should have some kind of book about construction of a sound studio.
Egg crates only deflect standing waves, if at all. They do nothing to sound -proof, which is to prevent sound from coming in and sound from getting out.
Egg crates on a wall for soundproffing are like tin foil on your head preventing mind control by space aliens.
if you are planing on using egg crates as insulation within the wall construction, they don't have much value in decibel reduction.