No you shouldn't as these jobs are highly competitive and always in short supply.
As are jobs in Nuclear science, Air traffic control and waterslide testing!
What you should expect is to have to go and convince an employer to employ you, not expect them to just because you hold a CPL.
I could not agree with you more! But showing this by mowing the lawn (which I've done!) should take a back seat to your proficency as an aviator!
So who should be cleaning the aircraft? Should GA companies with pilots sitting idle employ cleaners to come in and clean their aircraft? Then I suppose they could increase the cost of the flights to pay for this probably reducing the amount of work they get thereby reducing their need for pilots. Or they can just use the human resource they have sitting idle and get you to do it.
We seem to be having a violent agreement!!

Even now when I put a PA31 or Aerostar to bed after using it, I clean it out, give it a quick vaccuum and give the windshield a polish. But there's plenty of other things I have done that are not related to the actual flying of aircraft that had to be done just to impress someone.
As for cleaning the bosses car: Yup there are some people who will take advantage
Yeah, that's true. The worst part was, I did it for about 12 weeks!