Incident may be a little out-of-the-ordinary for an airliner, but not a near-death experience. Sounds like the pilot let the sink rate get a little high, bounced the landing, and then wisely decided to do an immediate go-around. Keeping the aircraft level while accelerating to a safe climb speed is a normal part of the go-around procedure. That's something I've done many times (admittedly in airplanes 100 times smaller).

The mere fact that the pilot was willing to do a go-around tells you that he valued safety over ego or "looking good." That's a good sign. You start getting into scary territory when the plane bounces hard and the pilot doesn't immediately initiate a go-around: trying to salvage a bad landing can be a quick and easy way to lose control of the aircraft.