Thin record and thin sound?

Earlier this evening, I listened to Donald Fagen's "Morph the Cat," a record that I really enjoy, not only for the music, but also for the fabulous sound that comes off the vinyl and ultimately through my speakers. As I was filing it away, I happened across Dan Fogelberg's "Souvenirs" ," a record that I also really liked way back in the day. What struck me on removing the Fogelberg record from its sleeve, especially after just having put the Fagen vinyl away, was how thin the old record was. Since I was standing there with the record in my hot little hands, I slapped it on my turntable and had a listen to the first few tracks. And what do you know: The sound was as thin as the vinyl. The very lovely song "Illinois" is in my head as I write this, but I'm filling in a bit of much-needed depth to what I heard 10 minutes ago. Is this a coincidence, or does thicker vinyl sound, um, less shallow than whimpy vinyl?