I think "web app" is too broad a category to have this kind of discussion over.. for a lot of web apps 1.5 updates per second could be considered a reasonable limit. Many people work on web apps that do 100x that and don't consider themselves to be working at any particular level of scale. 1.5K updates/sec is not uncommon either, in different settings -- high-traffic internal web apps can hit that in a single company, and the people working in those contexts don't consider that too special either, not to mention public facing websites like GH where many people start their careers without having seen anything different.
I'm not benchmarking SQLite, I'm relating the environment in which I was tuning SQLite concurrency, because I feel like it doesn't mean much to say "here's what worked for me" without at least some basic facts about what I was working on. SQLite itself can do tens of thousands of writes per second on commodity hardware without breaking a sweat.