Loading Twitter (etc.) is not really the goal, it's more of a prioritisation mechanism for tackling a huge spec. Actually getting Twitter to run is a nice reward for all that hard work though, and a series of such rewards keeps the contributors motivated in the marathon that is building a browser.
By targeting a single website, you end up accidentally writing in those site-specific fixes _in_ your implementation. You only realize it's fucked up because you visited Twitter. but maybe it screws up another site. Maybe something else depends on a quarter of that functionality, and you've accidentally broken it.
Of course some errors will be made along the way. That's to be expected, regardless of the approach taken.
When ZSNES did its thing, which, just to remind people, was back when Pentium IIs ruled the roost and CPUs topped out at 450mhz, doing things the proper way was not a choice because the proper way needed 3x the CPU power of doing things the ZSNES way that worked.
Dolphin became popular because it could actually play games, and I bet if they had instead spent an extra 3 or 4 years working on code that was "correct" without releasing anything, well odds are they wouldn't have such a large following and would not have attracted so many contributors.
Users do not benefit from "perfect code" that they never get to use because it is still in development.
And emulators that have gone this path have all regretted it, because they end up making hacks to make <popular game> work, because everyone simply wants to play <popular game>. Dolphin is still paying the price of that method years down the line. Project64 took years to unfuck themlselves up, ZSNES is forgotten and overtaken by many more that have done the proper thing.
So, sure, you can get some initial usage. But making a browser isn't about being able to open twitter.com