LadyLlama, I don't use those lines as knockbacks. If we (and I rarely interview without some colleagues for additional input) don't feel someone is right for our business, we just say "no" and thank them for their time and effort. We do not, however, hire without meeting a prospective pilot for an "at length" discussion, so from what you say I know that you've not been through our door.
If you're comfortably paid where you are, I'd caution against going to another GA operator simply to fly a slightly larger aircraft. In my neck of the woods, the pay is sound (in GA terms) but it's hot and the flying is often quite uncomfortable, so the grass isn't necessarily greener...