So if you accidentally drop your keys while entering, or your passenger departs with your key, the car should lock itself 2 minutes later while you are driving?
This is why every car company has examined it and chosen to not do it.
This feature actually saved huge inconvenience for us once. While visiting the other coast for wife's mom in the hospital, we used one of her parent's cars to drive to the airport with her brother to drive it back. We get out at the airport, get luggage, hugs, bye, head into terminal -- with the key still in her purse. Car running, doesn't notify him until too late to chase. If it stopped after 2min, he'd be stuck somewhere outside an airport 100mi away from anyone he knew. Instead, he just drove it home, got & used the other key for a few days, and we mailed back the first key when we arrived.
Things that seem reasonable at first....
It means the key has to he inserted somewhere. That makes it both safe and predictable.
(& yes, I still start my car with a key that is inserted, and mine also has a clutch & manual H-pattern 5-speed)
The way it works is reasonable. Maybe tighten up the proximity. But honestly, I miss my classic keys.