Your mugs are looking great.
And the only time you will have to worry about the image is if you use cheap ink via ebay, cheap paper via ebay, or cheap mugs via ebay. sublimated mugs are definitely a heritage item, I've got one that I put in the press to help keep it in shape when heating and cooling and it has taken over a year to lose enough of the colour back to the clean wrap to notice it happening.
And the only time you will have to worry about the image is if you use cheap ink via ebay, cheap paper via ebay, or cheap mugs via ebay. sublimated mugs are definitely a heritage item, I've got one that I put in the press to help keep it in shape when heating and cooling and it has taken over a year to lose enough of the colour back to the clean wrap to notice it happening.