The problem doesn’t appear to be how it’s washed but simply if you leave it in the fridge.
I left a made up shaker in the fridge overnight and when I got downstairs in the morning I took it out and took the dogs out for a cigarette in the garden, when I got back in the shaker had started to ‘sweat’ like a glass of water or whatever, condensation on the outside.
After picking the shaker up the ink where my thumb was over the ‘l’ in the Huel logo my hand was covered in ink and it had all smudged.
It would appear that the ink on the shaker starts to break down when wet (or possibly when wet and cold) and then becomes liable to smudging when you put your paws on it. You can see a similar wear pattern on the photos posted by other members above, it’s where hands hold the shaker that the logo wears off.
I’m wondering if this is because the ink hasn’t got a second protective layer over it.
The bottles for the Breville ‘Blend Active’ (whole machine including two 600ml bottles for twenty squid) look like they’ve got a similar ink on them for the brand, but it has a thin ‘gloss’ layer over the ink which probably seals it in.