I don't like either kind very much. Pull-ups are only diapers to me by the broadest definition. AIO diapers tend to be more trouble than they're worth in my experience, needing plastic pants, taking a long time to dry when laundering, etc. The bit about plastic pants isn't so bad since I don't generally like the feeling of an AIO cover but it grates when I think of the function of the diaper contrasted against the name "All-In-One".
I prefer thinner diapers for wearing out and about. I don't need to go often (8+ hours is normal), so capacity isn't important until I need to change. Unless I'm 24/7, I wouldn't generally put on a diaper just to do something out in the world for a few hours.