Yup, Plug from the Beano!
Pekes and Pugs have been around a long time before they arrived here, whereas the French Bulldog originated here/france (the lace weavers who went to france took their little bulldoggy things with them and bred them with local dogs)... in the mid/late 1800s.
None of them were as extreme in shortness of nose and neck, pinched nares, bulging eyes etc as they are now and the peke did not have anywhere NEAR the amount of coat the modern show Peke has.
These are all the product of breeding for appearance vs function, and humans wanting to outdo one another in getting closer than the next person to some theoretical 'ideal' *(which itself will be changed by fashions and trends).
The Peke looked a lot more like the modern tibetan spaniel originally, a much more functional dog than the modern Peke (I mean a Tibby can travel the length of a show ring without needing a cushion and a fan to collapse in front of after a short waddle!).
Unfortunately one of the downsides of the advances in veterinary medicine is that we can make these unhealthy, wheezing, gurgling, snorting animals live longer and reproduce, where in the past, they would simply have died and that would have limited their producting.