Yes, but not to the extent that acid-based coloring liquids do. Even pre-colored materials will affect the heating elements.
I would recommend cleaning/purging sintering furnaces at least monthly, and possibly more often depending on how many units you are processing. if constantly processing full trays (at least one cycle or more daily) you probably want to clean/purge every two weeks. If not filling the tray and only running one cycle a day (or a couple cycles a day with only a couple crowns each cycle) then you should be able to do it monthly. I would also recommend using Sinter Purge by Vision USA. You can get it from Argen
https://argen.com/store/products/9776#/ and run this according to their cycle on the package weekly. Thís will help to remove contaminates from the furnace, where the Cleaning/Purge cycle is more about reconditioning the heating elements.
