I don't love mine, but to stick me in a box labeled "disengaged" would be silly. My level of engagement varies from day to day, and even moment to moment, depending on what I'm working on, and/or who I'm working with.
I feel the most engaged when the world is falling apart around me, but if I'm doing a good job those situations are few and far between, so there's a tension there where the better I'm performing, the less fun I'm having. Ho hum.
Also, the organization has a tendency to stop me from working on things I'd really like to. Once I was basically forbidden to start any new projects because I was going to be needed for a hot and heavy one coming down the pike... which didn't arrive for another 6 months.
Oh well. Engaged or bored, they both pay the same.