As an aside, my partner detests the things I 3d print unless they have a very specific purpose, even when they are random semi artistic pieces I'm tinkering with (and I typically agree, they are junk). She loves the first thing i ever printed her though, a triceratops model, despite being randomly downloaded.
Anything made with intent from one individual to another will have some level of sentimental value, but I don't feel like making a ghibli image with AI specifically tailored to a friends tastes would have quite as much value as leveraging your own talent to do it yourself.
On the flip side, I do believe that "doing it yourself" has less value than it used to. It's a very sad reality and in my opinion a strong argument against blind "progress". We gain the ability to mass produce art but lose the ability to perceive it as art?