Theoretically I imagine second labours are shorter because the body has done it before and is 'primed' so to speak. I remember reading that in subsequent births, the hormones that induce labour are more effective because the receptors have been set by the first birth and it makes the whole process of hormonal response/birthing much more efficient. The body knows what it is doing IYKWIM.
The thing that might make it slower is a malpresentation as MadB mentioned or maybe a psychological barrier like an unresolved issue or a feeling of not being 'safe'. Then, you can't always bank on your psychological state slowing things down.
Based on that, I imagine that having had an induced and supplemented birth should not make a difference. Your body still went through the motions, still responded to the hormones, still had a good go!
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