That is what I had assumed your intended meaning to be, and thanks for clarifying. My point was merely that the word class can be taken to connote more than simple classification in that context.
For the record, in the suburban synagogue where I often daven (which does have fixed pews, and where women often attend minyan during the week) the percentage of latecomers seems more or less the same as at the various other types of shuls, yeshivos, etc where I have davened over the years. It is true that in the suburban synagogue these latecomers are less likely to try to get an extra kaddish.