The labels L, XL and XXL given in the parent article are more plausible than those from your link. Moreover at your link it is even stated that those given there might be nicknames, not the official designations.

As you say, the essence is the same regardless which were the actual names.

Moreover, while this is a story about males fantasizing themselves as being large, a similar story, but in reverse, is told about the labels used in US female clothes, where, due to the increase in average weight of the population, the larger sizes have been renamed as smaller sizes, because overweight customers were reluctant to buy the clothes labeled as extra-extra-large that they actually needed.