I would do it if I have to. I'm a "young" FO, so I do what I need to do to stay in a cockpit and build time. We never do it, but I woudn't find this degrading nor embarrassing. I like my boat to be shiny, same thing for "my" plane !
But I think the chief P only can complain. You can't, it would be wrongly noticed. So either you're happy with your job and stay here (and clean the plane ��) or you look for another company