Maybe you live in a world where razor-sharp high-quality scissors are the norm, but every pair of right-handed scissors or "ambidextrous" scissors I have ever used have always torn gift wrapping paper until I got a $14 pair of left-handed scissors.
It's not just the cutting blade, it's also the angle at which you hold it, and how your body twists and contorts when you grip and squeeze.
Maybe my ergonomics are different from yours. That might be an issue as well, so I'll give you the benefit of the doubt and not downvote you or anything, but in my personal experience, that has always been the case until I got the scissors that were made for me.