Doesn't have to call itself Chameleon Suit, you could give it any kind of innocuous name, e.g. 'Jumper Suit'. As for your claim that the test is unopposed if you're not running silent, I disagree. 'to analyze one particular icon or search for another icon', is on p178. That is explained as an opposed test, doesn't require running silent to be opposed. p183 also notes 'can also be used to attempt to spot any icons in the vicinity that are running silent', after explaining how a normal Matrix Perception test works. So it's not 'unopposed unless silent', it's 'spotted automatically but still opposed test to see if they can figure out any info, when not running silent'.
Icons also don't indicate what they are on sight, so they'd have to try to Perceive every icon you have. If you have your suit on and wireless while normally walking around, they'd have to try to go through all your icons to figure out what you're wearing, scoring 2+ net hits to realise. Since even a Spider requires 1.5s per Perception test, you'll need to be in a low-traffic area for Matrix Perception to give them a shot to spot you're wearing one.
Of course usually you'll be sneaking when you got this puppy active, or in combat, so it's not as if it matters if normal guards realize the suit is wireless: You'd want to be using it to sneak around, meaning you do not want any AR activity to indicate you're there. So you're running silent or sneaking through an area hoping they don't realize there's too many icons.