The Track LOWERED my Tire Pressure??

[TexasChuck]

My first time at a track was yesterday. With an instructor, not an event. I put my tires at 39 psi at home cold tires. Temps in the mid 50s. Then when the track's tech checked my car, after us driving there (45 miles) in 60 degree temps, the tires showed 45 psi, and the tech lowered the pressure to 38. Me being a complete novice accepted this. The actual drive time on the track was a lead follow thing, with me following the instructor (he in his car/me in mine). I could feel the softness in the tires. I know in auto X you want the tire harder just to keep them from rolling off the rim when cornering hard. And I felt like I was cornering pretty hard, but of course nothing like a more experienced driver would. So, I'm confused .
Any experienced input will be helpful.
Thanks