In other words, you will learn the ins and outs of ladder logic because you want to.
Electricians are the ones that are expected to know PLCs and electrical departments are the ones that get asked to do that work because of the wiring and specifications components. But programming PLCs are just as foreign and just as easy to learn from either field.
That said, you should get an electrical trade ticket and some work experence with wiring machinery, paying attention to how the parts interact on those machines, then move on to programming. This way you talk the same language as those on the floor.
A varsity degree will prolly take you off in other directions but if you are good with the theory then do 'em all. The more the merrier.
Evan