Cleaned tons of them , I guess because there were so many about back then we never turned any away, never had any problems. Our record was 30 in one week (all viscose) at the time we charged £75.00 for a 3 piece suite so why would we walk away,. By the time I stopped we charged between £150 and £225 depending on size.
I stopped cleaning suites out of personal choice just really did not like it and it was playing havoc with my back but suites it can be a large segment of your business so I would not make a habit of 'walking away' unless you really are not confident to take it on , but at some point you just have to crack on and get on with it if you want build a worth while business.