Depends on the way the dye interacts with the fabric. MFG might have to overdye to get the desired color. Newer dye types might have different reactions to fabric content.
In the case of DMC embroidery floss years ago - black was always a bit thinner than the rest. Red, you had to wash in cold water with white vinegar and salt to set.
It shouldn't be hot water only - kid in UK had a washing machine that only used hot water. I'd asked her why she didn't use cold and she said it had no setting. She replaced the machine. If these machines that only use hot are available, then I should think the MFG would put a notice on fabric care on the end of the bolt or another warning.
I bought some inexpensive red sheets. I haven't had dye problems, but even after 3 years of washing, I still get a lint trap full of red fluff! You'd think the fluff would be gone by now.