I wouldn't put click together vinyl in a closet!
Gonna do it, do it right. Get glue down!
I think vinyl has a bad rap as it used to be a very cheap and economical flooring. Vinyl plank flooring has come a long ways and is now a very nice flooring. It is much warmer and quieter than laminate along with being waterproof. I put laminate in one level of my house a few years ago (wife's choice) and regret not doing vinyl.