Before we can go and make guesses as to if Copperclouds stack, it'd be nice to know what a coppercloud is, and how it works.
Is it Investure that leaks out of you in cloud-form, blocking Bronze the same way a Shardblade blocks pushes and pulls? (This is assuming it's a specialized form of investure, or that Iron and Steel are naturally stronger metals that bronze, and therefore you'd need a serious smoker to create an aluminum-field)
Is it some kind of barrier that can muffle the pulses? If so, what exactly is it made of and how does it work?
Does it create some kind of bubble the keeps pulses from leaving the body, which will stifle the pulses all one its own? (I like this theory actually. Like metal attatched to the body, and pulse trapped inside your heavily invested body would be very hard to detect without enhanced bronze. If the coppercloud stops the pulses from leaving you, it means they don't stack and they work a whole lot differently than we thought.)