Let's go rated, you can justify anything to yourself, but inm y opinion you are makinga mistake if you are calling it CRM.
Before you know it, it will be expected and yo will be considered a prick by those very same people you sought to include in your touchy, feely briefings.
Down't downgrade your status by cleaning cabins. When did the FAs last come and help you when things got busy up front, in the interests of CRM.
KaptinM got it right when he mentioned needlestick from assisting with the cleaning. Small risk, but a risk nevertheless.
I'm the Captain of the aircraft and I will involve the Fas in briefings etc. to the extent that they need to be included in the interests of good CRM, but as for cleaning cabins, forget it. If my employer required it he'd be told to get lost.