qualifications, a caveat and disclaimer:
I’m a car guy. I know a fair bit about motor vehicles generally. The disclaimer is that I am not an engineer. The caveat is that the answer to this question is known, but not by me. However, it’s a lot of fun to guess.
First of all, “tire chirp” is the same phenomenon as the “tire squeal” effect heard when you spin your tires accelerating away from a light (or whatever).
Yes, tires squeal more readily when underinflated than when they’ve got enough air pressure. The tire casing deforms a lot more when the tire is underinflated, and my best WAG is that what you’re hearing is the rubber squirming around (and slipping) beneath a quivering casing. In technical terms, the casing is quivering because the shear loads produced by the lateral acceleration of the vehicle is causing the rubber to squirm, slipping against the pavement.
However, tires almost never squeal because they are wide, as suggested by a previous poster. I once saw a street-legal drag car make a slow, squealing u-turn, but in that case the tires squealed (in other words, they were slipping) because they were connected by a locked differential. The differential keeps the tires from moving at different speeds, a necessity when turning. I would be hard-pressed to believe that a sufficiently-inflated single tire would squeal at super-parking-lot speeds.
Now: tire compound. That has something to do with it, but Detroit does not. Generally, tire compounds squeal in inverse proportion to their coefficient of friction. If you go to an autocross event, you will hear cars with fairly hard-compound tires squealing away, but the ones with sticky tires (i.e., DOT-legal slicks and stickier) will squeal very little or not at all. I suspect this is because cars with stickier tires are sticking to their chosen line better and sliding laterally to a lesser degree.
Detroit has very little say about what goes into tires. Michelin (and others) recently began putting silica into tires to increase their wet traction, but I don’t believe that this increases squealy noises.
One minor note: if your tires are squealing going around corners at normal speeds, they’re not just underinflated; they’re dangerously so. Pump up those tires!!
Anthros