Saying Trappist is a type of beer is like saying French is a type of poodle — if you used the label only to refer to a poodle bred in France.
A more apt comparison is saying Bordeaux is a type of wine. Bordeaux is a region in France; it is well-known for 5-6 types of wine; any Bordeaux wine that qualifies for AOC proudly displays its Bordeaux heritage on the bottle.
https://www.foodandwine.com/news/russia-champagne-law-sparkl...
(I see myself out now.)
[0] Not "begs". Never "begs the question," even if I am being pompously pedantic. [0']
[0'] https://en.wikipedia.org/wiki/Begging_the_question#Vernacula...
[1] https://en.wikipedia.org/wiki/Poodle [1']
[1'] TIL the word "cynalogy"--"the study of matters related to canines or domestic dogs." https://en.wikipedia.org/wiki/Cynology
[2] Also, while the Germans refer to the breed as "Pudel," the French call them "Caniche". So of course in English we call them <"French"> <German word>.
[3] Rabbits! They went down this hole!