Corel's companion to PSP is Aftershot Pro 3. But it's ability to handle files etc. is pretty basic compared to Lightroom.

I used to use PSP because I migrated from the photo editing app in the old Corel Draw. I switched over to LR and then PS + LR a few years after I retired from teaching. I no longer needed Corel Draw to produce materials* for the classroom.

I taught at a HS that was part of a federal program called the Digital High School and we had overhead and other AV equipment but the materials that came with our textbooks sucked. So I took a class and started to do my own posters, charts, over head projection materials, Power Points etc. I and an English teachers were the first at the school to do so but when I retired in 2007 there was at least one teacher in every academic field making their own materials. Somewhere in a box of some of my own stuff I still have his "History of the English Language" disk that I used to show to my history students.

I use PSE 2018 for the largest percentage of my post processing. I have PSP 2018 and I use some features on it that work better for certain editing than does PSE 2018. I especially like PSP’s skin smoothing feature. And PSP’s cloning tool has one for linear defects that works well in photo repair/restoration. It also has a larger variety of straightforward tonal adjustments, I think. The one thing I don’t like about PSP is the way the various slider adjustments appear when first opened on a new image - they seem to stay at the position used on the last image loaded rather than a neutral position. I don’t understand that at all.

Stan