Conversely, the success of the web is entirely dependent on not hitting patent walls. We've all seen the problems of app stores with arbitrary rules and 30% taxes; if there had been a patent on, say "using images in a web browser", how much money would the holder have extracted and how many arbitrary rules would we have had to deal with?
(This nearly happened with GIF)
If your business cannot survive without a state enforced monopoly, it's a business that can't support itself and should not exist.
People often point to drug development to illustrate your point about the necessity of patents, but how about a world in which drug development is public and funded by government as well as industry participants and a "drug company" becomes more of a "drug manufacturer" making generics. Lower profits, but consumers benefit from more selection, and I would argue the science of drug discovery would move faster because it could focus on discovery more than legal bullshit. If your interest in medicine is literally only money, maybe you should try something else other than medicine. Medical innovation did not start with patents.
The more common argument I hear is: Why would a company invest resources into research if there was no way to prevent a competitor from copying the result on day 1 of you selling a product?