I don't know what Sturges would have thought of Italian neorealism, if he even saw any of it, but my guess would be that he would have grouped it in with dreary "deep-dish" films rather than with joyful entertainment. But then I suspect that Sturges' actual view of art was far more complex than that presented in Sullivan's Travels, so he may have insisted that it was neither of those.
The lines we've quoted, "Did you know [laughter is] all some people have" and "it's better than nothing," seem very clearly in the category of general observation rather than a stricly personal one. It's a prescriptive, other-regarding moral. After all, Sullivan's lesson isn't just an expression of Sturges' personal approach to filmmaking, it was an attempt to influence his fellow filmmakers, of whom Sullivan was an aggregate. He's telling them: you're not going to do any good that way, so just make something the people will enjoy. Sturges explained this clearly, and when the film flopped he said that perhaps his message should have been in the form of a pamphlet distributed throughout the studios rather than in the form of a film. He was being too hard on himself, but still this statement gets across that Sullivan's message was something he was proclaiming to everyone.Well, I'm approaching that bit of dialogue to be addressing Sullivan's actions, or his internal decisions, rather than the ultimate plight of those in need.