Right now, browsers are the easiest platform where you can build an application that can be made available to a lot of different devices. And when it's a requirement, from a time-to-market point of view this is a huge benefit. And this should be taken seriously into account especially now that people tend to use 2 or 3 devices every single day.
On the other side, from application point of view both the browser and the operating system are containers that offer some sort of API to interact with the user, the device and other resources. I wouldn't say that one has to be necessarily better than the other, it depends on the goal of the application.
Ok, that's a good and hopefully true point. Code and tools will both evolve, eventually you might not deal directly with code but with the abstraction offered by such tools.
Code itself won't likely disappear. It will be just buried behind more and more layers of abstractions.
Depending on the kind of job, remote working is a perfect way to get the job done. If you feel this can be your case, then maybe your boss is not acting very smart.
In terms of job alternatives, if you feel that you would need to commute anyway, look around, I bet there are several open positions for which you would be able to work remotely (in some cases you might trade something like 1 day a week at the office).
At the end, give your boss another chance to understand your situation, go talk with him. It will be the ultimate way to know if that's the place you still want to work at or not.
A very interesting source of thoughts is the work done by Bret Victor http://worrydream.com/ (take a look at Recent Output section).
Code the way we know it today will change. After all, human languages keep changing.
However, changes will happen in a very natural way, with selection of the best compromise between efforts and results. For instance, programming languages might not change that much while we might end up with more and more powerful frameworks to build software.
Nevertheless, next 50 years of evolution will be very very interesting to follow.