Obviously I fly large ships as often as I can because I prefer them. Please disagree in a way that respects that I created this post in good faith.
On this we totally agree. I also like the larger ships. And, like you, I do often feel more encouraged to use a smaller ship.
Honestly this isn't just a large ship problem because the same is true for Small ships. The game gives more incentives to use medium ships over both small and large. Heck, I only have 2 small ship in my fleet of 11 total ships and only one of them actually gets any use (a DBX, which I use as a taxi). In comparison, at least I do use all 3 of my large ships pretty regularly, despite leaning toward the medium ones most of the time.
Has Frontier shared any metrics regarding what the "most flown" ships by players are in terms of hours in game of usage? That'd be really interesting to see.