For example, in this screenshot of an account search for 'snake'-

-only the Coin of the Snake and the Brown Snake Contact Lens Case aren't CWs. I had no idea until I clicked each one of them. It'd be neat if there was a way to know which one were CWs before I clicked as not to waste time. A star would be nice, since it looks like stars are used on the top-right corner of CW icons.
Oh, full support for this! It can be a pain to wade through so many items that most people will never have and don't need to check for.
I'd honestly prefer them to be in separate lists, with official items listed first, e.g.:
Official Items xxx yyy zzz
Custom Wearables xxx yyy zzz
While I'm not opposed to this, I personally see the account search as an individual thing (searching February 2020 Collection VS. Collection). Item Directory (located in Centropolis), however, is great for searching for non-CW related items using singular words. You see them all there (or in pages), with the name, item art, and links to do an account search or a user shop search. You can also include Melody items.