He's not talking about the DRL's. He's talking about the full lights. The Corolla/Matrix use the highbeams as DRLs.
What happens, AT NIGHT, when you release the parking brake, is that the lights come on just as if you'd switched them on manually. NOT the DRL's, but the headlamps, taillamps, etc. See, the cars have a light sensor, meaning there is NO WAY to drive in the dark with either the headlmps off or just the DRLs on. Then, when you park the car, the headlamps stay on if it is still dark. The sensor system does not allow you to turn them off.
Why is this? Well, and this is the only part that involves the DRLS, is that people (pretty much all Corolla owners) were driving at night without swtiching their headlamps on. They just drove with the DRLS on. Why? Cause they're morons. So, Toyota installed an automatic system that turns the full lights on in the dark.
Other models that need to have this feature? MDX. Rarely have I seen an MDX being drven at night with the lights on. Always DRL's only. All other Honda products, but the 06- Civic is the next worst offender after the MDX.
Anyway, the OP's gripe is that when he stops and sits in the car with the engine running after driving in the dark, and the lights are no on, there is no way to swtich them off.