Thanks everyone for the responses, first of all.
There are a few people on here who delve in both (PearlPixel, Moritz, Matt), and even fewer that seem to gravitate solely to sound design (YellowChord). Although I have DONE both before, I wouldn't dare consider myself well versed in the art of sound design and would label myself moreso a composer who dabbles.
I don't think it's easier to do both, but it definitely makes you look a lot more, eh, valuable, as an audio producer for smaller studios. The larger the budget, the more I feel that developers focus on someone who excels in one area, rather than multiple (though I would state having the ability to do both a huge plus).
How has sound designing been going for you, Python?
Yeah, I personally believe your theory that larger studios are more likely to have different audio departments, likely because of what you said that their budget is bigger and they can therefore afford to pay more people.
Sound designing has been interesting. I've only been dabbling at the moment, myself, though I did go as far as making field recordings of my footsteps in grass. XD Otherwise, I seem to prefer having the budget for premade sound effects.