Edit: Somehow I got a little lost and thought I was replying to the thread you linked to, not this Dealbreaker thread. I am going to leave my comment here to add my thoughts, but I just wanted to say I can completely understand how the lack of a web app is a dealbreaker to some and I think it is great for there to be a thread for people to share what their dealbreakers are.
While convenient, a web browser and web app does not offer the same level of security and protection as a dedicated app. I also want the convenience of having selected data (not all my data) available if not on my device but how my data moves, how secure it is when it is decrypted, and sync options are very important to me. I like the idea of a portable app that does not sync/download everything similarly to the android app, but I know that not everyone else would appreciate that as a solution.
I know from reading the forum, that the anytype team is looking at ways to provide web app-like access but I appreciate that they are looking at doing it in a way that is private, secure, scalable and decentralized. My understanding is that they are working on the collaborative backend of anytype which if I understand correctly will focus on sharing, publishing and collaborating on our data/content.