Well, i mean i would be all for that but in reality it might not be that easy. It could rely on dependencies that are proprietary that cannot be shipped or provided with the project.
It could alone be that the connection is hard coded in the game itself so instead of just booting up the server and being able to play you would now have to do something to the game itself too that it finds your server. Nothing really that cannot be addressed, I mean people could do that with ragnarok online private servers but not something your normal gamer could do.
It goes even beyond that.
With a dedicated app, you go into the store and install it and then you have it in your apps that you then can place everywhere.
With a website, you need to have the browser, navigate to that website each time. And yes, you could put a link to that website on your home screen as well but not many user are probably aware of that being an option.
I know that but I still would prefer a dedicated app because it is easier to manage and use more features of my phone. For example, I just tried it on my android phone and the link to a website always opened a new tab in my Firefox.
Then I can manage the notifications of that app depending on what I want it to notify me about.
I can’t do that specifically for a single app or website in a browser.
On the other hand, I also wouldn’t want to miss a website because I am not always on my phone and, in some cases, it is way more annoying to do something over the phone because I am just not used to it (like writing this comment). Doing that over a website version that I can access on my PC is much easier and convenient.