Normally, one would place an kind of volume pot after the input diff-amp (the "dereferencer") so that it never compromises CMRR.
I think we know this, however then 4 gang pot is not used. If there is a 4 gang pot it indicates to 2 independent signal paths for + and - branches through the whole amp or that the pot is before the input stage. Anyway the use of 4 gang pot compromises the CMRR.