There are many possible uses for printing a photo of yours. Printed photos take away some degree of our control as viewers. Unlike screens, prints are not there only on demand. They just adorn your wall and will catch your eye from time to time. And since you’re in a manifold of different personality states over the course of time, you’re giving yourself a chance to glimpse things that you may not have noticed on screen when you only ever look at the image intentionally, never by chance.
That’s why I’ve already printed two of my first ~3,000 exposures I’ve taken with my very first interchangeable lens camera. It’s not because they’re that beautiful, but because having them in my apartment will force me to look at them and e.g. discern things that I find wrong or boring about it, or particularly good. It opens a constant alley for contemplation and insight into the processes between self and photography and so on.
So, even though you’re the far more experienced and accomplished photographer, my advice to you would be to just force yourself into deciding on one or two images of your own to have printed. Or at least to have a possible future print in mind when taking and making future pictures. Screens are rubbish. Prints are the other side of photography, only print gives proper birth to a photograph imho.