Showing respect for both the dead person plus the family and friends is significant.
If you have waited, years for getting this precious monogrammed T- shirt why own it ruined if you come in tired during the night and sleep upon it before you remove your makeup. He may be unable to tell you but I guarantee he is not going to be too impressed using a pink t-shirt on as well as a diamante studded collar.
There are few businesses that likely wouldn't take advantage of people sporting their best companies or brands, but for the most part might be pretty effective advertising.