What part is not true?
Certainly the original Glock was a 17, and there are varying prototypes as Gaston Glock worked with slide weight and distribution to optimize function.
There is a difference between the weight "being about the same" and being the same, since Glock shows a .70 ounce empty weight difference between the two models. There is also a difference in the weight distribution, since the slides are different lengths.
Most importantly, I have observed this over many years of my wife and I shooting about a dozen model 34 pistols and more than a dozen model 17 pistols, with a wide range of power factor ammo, factory and reloads. Confirmed it by the experience of others I know.
I would be interested in whether your comments are theoretical or based on shooting a wide range of power factor ammo through multiple model 17 and 34 pistols.