I'm not sure I'd word things like that, but it's not far from the truth.
Selina, while still playful, is written as a more mature, experienced and classy woman most of the time. I think part of this is due to the fact that she has had years worth of solid solo work that has fleshed out her character far beyond just being a love interest for Batman.
Another part of it is her respective love interest as compared to Felicia's. Peter is something of the eternal teenage boy, and while he technically ages and matures, he never loses that boyishness. Compare that to Bruce who, for all his faults, is something along the lines of an ubermensch, a paragon of masculinity of sorts, who's also stoic and driven enough to make you know that it takes a very extraordinary woman do to him what Selina does.