Well that is also true of a fair number of constrictor snake kills. They just prevent the expansion associated with breathing and move in tighter when their victim breathes out at all. . . and those are usually considered a "crushing" type death by most people even if one can/should dispute it on technicality. Then again the whole placing rocks on someone's chest until they do as you want or die is also generally classified as a "crushing" death but would really be about preventing the expansion of the lungs and thus a "suffocation" in some way....
so I think calling it a "crushing" death is pretty valid even if the super high density just means you can not draw air into your lungs and asphyxiate.