Requirement for cleaning the cabin during turns is not contained within the duties and responsibilities, of Capt./FO, or even F/A for that matter as outlined in the FOM of any carrier I've worked for. Never been discussed during any interview or basic indoc.
BTW... Isn't JB ALPA now? Is or will reference to cabin cleaning part of the contract? Better yet... Will JB expect crews to clean the jet after the last flight of the day?
Perhaps JB should consider ceasing operations if the cost of hiring qualified cleaning personnel to clean their jets.