Mugs, bowls and ceramic items
Most of my ceramic pieces (mugs, tiles etc) are 'printed' with my designs.
The design is very tough and hard-wearing, as well as microwave and dishwasher safe. BUT the design itself is not glazed onto the surface with melted glass, so it won't be as tough as a kiln-fired, glazed item.
That means that, if you take a wire scourer to the patterned surface, you will eventually damage it, either by scratching it, or by simply wearing it away.
The answer is .... DON'T go mad with a scourer on any patterned surface!
Oh, and the sticker that I use on the bottom of my mugs is supposedly waterproof - but it won't survive the dishwasher for ever. If the sticker is important to you, handwash the mugs and leave them to dry without a pool of water in the base.