I would list between about 5 and 10 FE programs as "industry standard programs for mechanical engineering, used world-wide" and Ansys would certainly be on that list. In the UK it seems quite popular with universities, because it is quite easy to use compared with some other FE packages I could name!
When you first start on FE analysis there is a lot to learn, but most of the learning is about "how to do FE modelling in general", not "how to run a particular FE program", so most of what you learn will apply to any other FE program that you might use later on, and not just to Ansys.