No. In fact, the "processRequest pattern" is an anti-pattern where both GET and POST are treated the same way in the
servlet. Bad bad practice.
GET and POST should
not do the same thing according to the intentions of the HTTP protocol.
While there is a lot to write on the distinction, the stratospheric view is that GET is for getting resources, while POST is for posting operations. That just scratches the surface but shows how treating GET and POST as the same operation is just flat-out wrong.
Caveat: it's a very common mistake and I used to make this poor mistake myself. I now know better.