While I understand what you are saying, does that mean when "I put on my pants" in the morning that I am suddenly wearing every pair of pant(s) I own?
"Put on my pants" is the common usage in west coast USA.
(I ditto you comment re: snark. Not my intention. I just find this sentence terribly interesting.)
I'd love to know the etymology behind behind the use of "pair of" in languages. A pair of gloves, a pair of pants, a pair of shoes, a pair of socks, etc.
And I just finished all of the crowns for "Clothing", so I'm L5 for that skill. There was an exercise L4 where "Le pantalon, les pantalons" => "The pair of pants, the pants".
The mystery deepens. So it goes in life!