I was nearly hit by the driver behind me moving forward when the vehicle next to them moved forward and they lurched forward with them. They were looking at their phone, I'd guess they saw the neighbor moving and thought it was a green light and time to go. Fortunately they had enough space and hit their brakes in time.
I've become cautious about taking my foot off the brakes for the same reason. Even when it's safe for me to start rolling, I don't trust them to not hit their accelerator when they're on the phone and notice my vehicle moving away from them.
A peek is probably safe enough, but using a phone is not.