Topaz Gigapixel is a simple and quick, easy-to-use software that does what you need it to - upscaling low resolution images. There are automated options to preview changes and advanced controls of you prefer to manually tweak adjustments to the image. It also has a function for face recognition however sometimes if the resolution is too compressed, it doesn’t work so well
Topaz always responds to my questions in a few hours or a day at most. They've been able to explain their answers and give detail I needed to complete my work. Their instructions are quite clear and easy to use. I haven't had to reference any third-party support sources to get answers.
Since they aren't direct competitors I don't expect PaintShop to hold up to a specialized piece of software. PaintShop allows you to resize but it's not intended to resample as well as Gigapixel AI.