That's too thoughtful for LucasCronies Ltd. With each new version of Star Wars starting with Jedi, the push to make one incidental comic relief take center stage has dealt serious blows to the credibility of the franchise.
For every minor R2 or little Death Star robot in A New Hope, now--especially anything from the prequels-forward, there's too many moments of muppet-like CG bickering, battledroid slapstick/one-liners, and other sight gags that were far and few between in episodes 4 and 5.
I really think you're underestimating how much of a sense of humor the original film had about itself. I was watching some of it just the other week, and was struck by how much of it was an affectionate comic deconstruction of its own genre. Luke actually said he couldn't see a thing through his Stormtrooper helmet -- that's as meta as anything on
Robot Chicken today. And the way Luke and Han bumbled through the rescue and then the princess proved to be thoroughly unimpressed was a great way of deflating and lightly mocking the conventions of the adventure genre.
And I should remind you that C3PO and R2D2 had more screen time than practically any other character in the first reel or two of the first movie. The comic relief was always center stage.