I would believe it. The younger generation, especially. I told this in the other Rebel forum. My daughter stopped her car to drop her husband off. He went inside a building to pick up their kid from daycare. Then she couldn't leave because the car died. He had his fob in his pocket. She had no fob. They leave them hanging on their key rack until they want them. Since the car started when they got in, she didn't even think about it. Funny thing is she wasn't even carrying her purse or ID that day. They both forget their IDs and keys frequently. But they always remember their smartphones. I don't get it.
BTW, I don't much like these fobs. They're big and fill your pocket up when you have more than one car. On my previous trucks, I could just carry the key and leave the fob home all the time. On this one, the "emergency" key doesn't work for anything except the door. The fob is no longer optional. I prefer the old days when you could have a keyring with several keys that took almost no space and fit in your pocket. You'd think that would be no problem for women since they have purses, but some of them switch purses often (day, evening, weekend, etc.) so it's probably easy for them to forget to move the fobs from purse to purse.
While I still carry a keyring, I don't put the fob/key on it because it doesn't fold up well in my pocket.