This is the answer to any question that is like.. "does it make sense to learn a low level language/api X even when a higher level language/api Y is there"
YES
You are able to boot up your Windows PC (or any other OS) and ask this question in SO because a couple of guys in Microsoft wrote 16-bit assembly code that loads your OS.
Your browser works because someone wrote an OS kernel in C that serves all your browser's requests.
It goes all the way up to scripting languages.
Big or small, there is always a market and opportunity to write something in any level of abstraction. You just have to like it and fit in the right job.
No api/language at any level of abstraction is irrelevent unless there is a better one competing at the same level.
Another way of looking at it: A good example from one of Michael Abrash's book: A C programmer was given the task of writing a function to clear the screen. Since C was a better (higher level) abstraction over assembly and all, the programmer only knew C and knew it well. He did his best - he moved the cursor to each location on the screen and cleared the character there. He optimized the loop and made sure it ran as fast as it could. But still it was slow... until some guy came in and said there was some BIOS/VGA instruction or something that could clear the screen instantly.
It always helps to know what you are walking on.