Cursing for what ?! Sawaab ?

As I had stated earlier, there are reports of Prophet [s] cursing the evil doers and to me it is difficult to fetch all those reports at the moment since it is time consuming thing.

As your notion that we should leave the (evil doers) who are dead is again not Islamic notion since Allah [swt] and His Prophet [s] have reported the evil doers of past like Firown etc various times and have condemned them.

And lastly, it seems that you are critical of the act of cusing on the basis of exaggerated perception you have in your mind of being ‘busy’ in cursing the evil doers. It require half of a second to say “Lanatullah Ala Zalimeen” and that too you do rarely. So the use of word ‘busy’ here isnt appropriate. Just like Allah [swt], Prophet [s] and pious believers were noy ‘busy’ in cursing all the time but they did when required, similarly we do not take a leave from school/college/job and start cursing the evil doers all the day long. Hope this solves the confusion.