Knowing nothing about what badge you speak of, I’m just going to assume the bragging rights implied by keeping the badge is how much you hate Canadian Geese and want people to know their suffering is keeping you warm due to the specific brand’s inhumane method of harvesting the down.
If that was the case, I’m a badge on kinda guy.
(I have a Carhartt and while I don’t think anything of the status, I know these are highly desired and often stolen so I’ve put patches over the logos on my jacket just as a security measure; nobody is stealing an UwU jacket)