If it was easier to pin a web page to your home screen, I think this would catch on more. I run a website and I get requests a lot saying "you should have an app!" I ask what the app would do, and they say "what the website does, but stuck on my home screen."

It's also unfortunate that web pages have the disadvantage that they have the browser UI around them, so it reduces the space available to the page versus an app, and web pages don't have permissions that apps do like sending notifications. Some people view this as a good thing and I tend to agree, but it's still a big disconnect that my weather app can send me a notification saying there is a tornado in my area whereas a weather website needs me to actively be checking it.