It's not just doing one thing.
Innovators who succeed at getting a patent might get more money for their innovation. But now only one person or org can legally make incremental improvements to those ideas. Without patents, the value per innovation might be lower to an individual innovator, but there are more innovations to be made because everything is on the table.
You are not just saying "you get $50 for this innovation" you are additionally saying "this innovation is now off limits for 20 years", and there may be hundreds of potential innovators who would have invested in improvements which have been legally barred from doing so.
My classic example is the 3D printer. They were $50,000 when first sold under patent, then 13 years later they were $25,000 still under patent. Then the patents expired and within 3 years they were under $2000. Ten years after patent expiration they were $250. So the price dropped only 50% in 13 years under patent. Then with no patent it dropped 90% in three years. In ten years it dropped 99%. It takes a lot of innovation to make a $25,000 3D printer work for just $250, and absolutely none of that innovation happened with the benefit of patents. Innovation will always happen! We do not need massive government intervention to make it happen.