Not rally that different. There is a subatntial line of thought even among piston instructors that you should exchange airspeed for altitude with an initial climb as you get to best glide.
The predominant line is GA in favor of pitching to the attitude that will result in best glide rather than climbing as you get to best glide is, I'm guessing, for two reasons.
One is purely practical, there really isn't all that much excess airspeed and the amount of altitude one gains will likely be minimal.
Second, is safety. Civilian piston reaction time and the reaction itself isn't as well trained as military. So the "oh crap" factor will probably negate any potential advantage. And, while we tend to train for the en-route failure, "pitch for best glide" also covers the most dangerous failure, engine failure shortly after takeoff, where a "climb" mentality is likely to result in a smoking hole.