In the old classic 737 ( I'm talking -200 ) many many years ago ( nothing fancy like AT ) we were taught on GA , after establishing initial 15 degree pitch , next thing you did pronto was pull those thrust levers back a notch or two , otherwise you'd have a ( generally light ) aircraft going like a bat out of hell , with all attendant consequences regarding flap limits / altitude busts .
On my later Boeing types ( 744 / 777 ) , the auto thrust was programmed to do it for you on GA ; brought the power back sufficient to maintain 2000 fpm rate of climb . Always nice to slow things down a bit while brain cells were reorganised .
(p.s. did a spell on A 330/340 ; great aircraft , but one complaint was that , on GA , the system gave full thrust , no matter what . Now this was ok on the 340-300 ( the one with the 4 CFM hairdriers ), but on the 330 (RR donks) it could be a handful ... Our company lost a 320 on GA ; for sure all that thrust contributed to the somatogravic illusion that sadly is still all too common) .