When i was semi cut, I had "normal" morning wood. Would usually wait a few minutes for it to subside and get up take shower etc. It was more of a hassle that prevented me from getting (especially in early years where I would wait for dick to get flaccid enough to have partial coverage again - later I accepted it and would get up with exposed glans and the skin woudl generally start to cover again during shower).
Since I got my full/tight circumcision, morning wood has dramatically changed. It become much more sexual. If I lay on my back with the dick against the sheets, it isn't just dick against sheets, but also feelin the skin tightness on shaft, and it makes the woddies last forever because it becomes sexual. I have jerked off a few times, but usually do some kegels or just mild playing with it and just enjoy it. Prefer orgasm at night.
Interestingly, when jerking off seated, I don't feel the skin tightness as much as when lying on my back in bed. And I love that feeling when the balls are also loose since it really underlines the fact my skin is tight not because of tight scrotum, but because I am really circumcised tight.