Regardless of the comedogenicity (or absence of it) of the individual ingredients, it is highly unlikely that any shaving soap or cream is comedogenic as such. If so, they would've been pulled long ago ;-)
Zits are primarily caused by temporary or persistent hormonal (and other systemic) conditions, may be related to stress, and may also be related to diet, although the actual 'proof' for that is not universailly accepted.
Soaps are not considered to be comedogenic. Some cosmetics can be.