I give mine about 10 mins every morning. Engines are better built now, and they'll take the abuse better, but it's going to be at the cost of engine and trans life (auto). I never worried about leases, but the cars I own, I keep for awhile. My sonic rs- (19k) and especially my 1995 Tahoe 2door 4x4 (245k) is testament to that. Neither use any oil between the 6,000 mile synthetic oil changes, and I change trans fluid every 12k. Diffs and t case gets done in the summers, and checked in November. The Tahoe is still running the original o2 sensors!! There's a secret to that, and I'm not saying. True motorheads know why- not the peeps who just read about stuff.
I have always warmed up my vehicles in the past, but with my Sonic, I don't. I get in, start it up, and drive. It's a mile or so before I'm able to get over 10mph, another mile before I can get over 25, that's how living in a small town works. I drive gently, and the car warms up while I do. If I leave it sit, idling, it takes forever, ten, fifteen minutes, but if I actually drive, it only takes a minute or so... and I have to do that alley/small street/stoplights drive anyway.
This might not be true of the 1.8 folks, but the 1.4T just doesn't warm up sitting still. You can tell from feeling the heat vents, or you can tell by watching the engine temp on your ultragauge or Torque app if you have them (and if you don't, you should get one). Meanwhile, they've been designed to be driven cold, and there's no real harm in doing so, at least not if you don't insist on flooring it and leaving rubber on your driveway.
Well,
The way I see it we have one guy who insists on letting his engine warm up first (popular old belief) and one guy who insists on doing early oil changes (another old belief).
You know what I think? You're both wrong, however chances are it won't have any effect on either car and if makes you happy by all means continue.