I've been a webdev for two decades now and while the author highlights the problems correctly, almost all of them have known fixes and there are 'best practices' to avoid them.
Humans are not done with engineering and technology. We're still coming up with better ways to do things. Building for the browser is one of the best things we've done as a civilization. I can build something, send a link to my dad, and he can look it up on his phone with literally a single touch. How is that not amazing? It blows my mind every time I stop to think about it.
It sounds ridiculous to say that since buildings fall every now and then, it's time to kill dwellings or since cars crash frequently, it's time to kill transportation. So without seeing the author's replacement, I am not yet ready to throw away the browser and JS-ecosystem just yet. It's terrible that Authy's 2-factor was bypassed with one simple trick but that doesn't mean HTML/CSS/JS need to die. You could have the same exact issues with mobile apps, installed software, or even hardware devices.