Oh, I’ve taken the key fob out of the car while running. It complains. But I’ve never tried it whilst moving. At any speed.
For my car, and I’m sure others, remote start is a different and special scenario than starting the car with fob inside, then removing it. First, the button sequence requires pressing lock first (it sorta helps). Second, you have to press the ignition button with the key in the car before you can drive, even if it’s been remote started.
As far as dismissing this as just a crime of opportunity, in this case, especially given the number of times its popped up in the media, first as a mysterious increase in “break-ins” with no evidence of breaking in to these types of cars, and now with an explanation. Remember the device is $100. On Amazon. Some variants as cheap as $17. If someone who goes around tugging on door handles packs one of these cheap devices, his odds of a ‘jackpot’ when tugging door handles increases with negligible additional effort. Still a crime of opportunity, but with a boost in opportunities.
And I find it a little offensive that at $17, these amps are cheaper than what some sellers are selling the blocking pouches for. Ouch!
I wish the OP (genuine, non-snarky) luck in getting evidence that can be used in prosecuting a perpetrator of this type of larceny. It’d be great to get the word out that folks are aware, and that they can’t be sure if a target of opportunity is really a honeypot!