Yeah I see why you'd do it. But sorting by group and system are just going to do you anyway. I think a better option is what the lane hackers do, or used to do back before the activity tracker thing, and just not have the tags at all. If you scanned one, they had the hacker pilot and the cardamine, so you knew it was one then, but that was it. It's classy.
I don't think putting the tag on the right is particularly effective but I think wanting to hide yourself on the player list is totally fine.