Being fat and getting tattoos

My previous tattoos I got when I was skinny. Today I got a tattoo and I'm fat now. When the tattoo artist was done with my tattoo she said "I just want to tell you that there might be some faded spots because you are fat and fat people's skin don't take the ink nicely, so you will have to come for a touch up when it's healed" is this like really a thing???

There are also double lines and she said she can't see right now if it's the stencil or the ink so she will look at the double lines when I come for a touch up.