On the rare occasion a urate smear appears on the twine, I use very hot water and a tooth brush to loosen and remove it.
I just have never had issues with any of the perches getting dirty.
I too like to keep the display cage simple when it comes to cleaning.
Popping out 3 or 4 perches is easy and the biggest cleaning headache is removing and replacing the naturalistic substrate.
Carpets are such great display animals, and having a nice looking enclosure that shows them off is rewarding!