Pitch for speed and thrust for altitude works extremely well in a 737.
There is no such thing as secondary effect of the elevator for the reason stated in my previous post. To write it again would only be repetition.
What you mention are not effects. Those are consequences of moving the elevator. I could add to FE Hoppy's list of "effects":
3rd - Stall
4th - spill coffee
5th - wife complains about stain on your shirt
The only controls that have secondary effects are:
Yaw - induced roll
Pitch - adverse yaw
Show me one quote from a book or one link to a webpage that mentions secondary effects of the elevator.
I'll leave the discussion here, Thank you.