Software development is and will be a good career choice for the foreseeable future (until software starts writing itself, which is not likely to happen any time soon). Web development is just a facet of it. If you spend time understanding fundamentals of software development you will not have wasted your time.

Two more interesting questions you should be asking yourself are: 1. Do you love writing sofware, and 2. Are you good at it?

If the answer is yes to both then you're on the right track. If not, you could have a problem down the road.