There are times when I use PS Elements to crop to a specific size, typically 4x6 or 5x7 for printing, and when I use some freebie Hewlett Packard "album" printing software I got with an old printer maybe 6-7 years ago, and then print on my Epson RX 580 using the Epson printer driver software they provided, sometimes the edge of the picture isn't quite where I wanted it to be. Most of the time, it's of no consequence.
But there are times that I'm intentionally trying to crop out some distracting element (such as a wall sconce, sign, person in the background, etc) at the very edge of the desired crop. And I get a sliver of the sign, or whatever printed. So, I simply re-crop the picture in PSE (NOTE: NEVER save the cropped picture 'on top of' (eg, replace) the uncropped version!) moving the crop boundary a little more left or right as needed, to offset the slight difference to what's being printed.
Having multiple software products from multiple vendors all trying to 'talk' to each other is like trying to make a mixture of automobile parts/companies all work together in a single car. Some compromises have to be made.