A very long time ago, my first shop teacher pointed out that the problem with CI isn't the clean-up, it's the risk of embedding carbides in wipers or ways. And then grinding your ways every time you move the carriage. He was right rude about compressed air, same reason. And covering ways when machining weldments, or even dirty/rusty metal.
He wouldn't let us use cloth or plastic film, either. Paper was OK, but he preferred aluminum foil for way covers, and magnets to hold. Al foil has the advantage that it can be formed to the ways, and it will tear fast if it gets grabbed. It is also completely impervious to dust, cheap, and can be balled up to discard, containing the debris. The small rare-earth magnets will also do a great job holding the foil to the carriage, ways, etc- while letting it flex. Put them under the foil, not on top.
Overcautious? Perhaps.