I have, would and will but not always!
Depending on the condition of the mug, the dishwasher removes alot of the images.
Sometimes because of packing limits I skip it.
But I have no problems with it.
I also bring a giant 54oz super thermal mug with me.
Like the ones you can find in 7-11.
I don't actually want to cause a scene so I refill my resort mug until my "super" mug is full.
I mean, a refill is a refill right?
So what if I'm dumping it out into another cup.
It can last most of the day with a few "recharges" in the Parks.
But I also refill my McDonalds and Burger King cups whenever I drive by one so I'm pretty used to doing it

.
But you have to understand that I drink diet soda like people drink water.
It can make or break a whole trip for me.
The Beach Club has the most annoying refill setup!
You have wait in line and ask everytime.
I'm there 10 or 12 times if we spend the day at the pool.