Sorry folks, currently out on a trip and been flying my buns off.
An approach that is not stable doesn't necessarily mean that it is unstable. The definition of a stable approach, per my company, states: the aircraft must be in the landing configuration, be at and maintain the proper approach speed, be established on the proper vertical flight path, thrust set to provide positive thrust response to thrust change, maintain a vertical speed not less than 1000fpm, be lined up with the runway (unless the approach being used requires something different), below 100' HAT must be within the lateral edges of the runway, and must be in a position to land within the first 3000' or 1/3 or the runway.
So, according to the textbook difinition, this was a stable approach. I would assume that they were operating the aircraft within the crosswind limitations of the aircraft (I'm not sure what the ERJ x-wind limitations are). Then enters the question of safety. These pilots were definitely wrestling this poor ERJ down final. If things were to get out of hand, whether the wind were to shear so much as to airspeed would be a problem, or if you just get that gut feeling that it's not a good place to be, then a go around is obvious.
So I guess what I'm saying is, in this case, everything was most likely legal and safe. As professional pilots, we fly in calm in situations (which aren't always the easiest), and we fly in the worst weather possible. It is our jobs to get the passengers to their destination as much as the weather, general conditions, and safety allows. That means that there will be days, such as this video, that it'll take all the strength and adrenaline that we can muster to get the airplane back on the ground. Unfortunately, with conditions like this, I'm sure the airsick bags were being utilized to their FULLEST extent, pun intended.