Don't know what to say other than we were first or second at the turnstiles - or even within the first 10 people - we have never had a wait for PP more than a minute or two. And we have never ran. We do, however, "walk with purpose".
Just checking, but this was not because there were Magic Morning/EMH guests in the park ahead of you?
Also just checking, but even if it is a non-MM/EMH day, when DL opens later (9 or 10AM) they often let people onto Main Street before the park opens. That makes "being first at the turnstile" of lesser value since everyone gathers at the rope. On 8AM days they often hold everyone at the turnstile until the park opens in which case if you are first there is almost no one else in the park when you get in. What happened on your day?
And finally, if you have a stroller, wheelchair or ECV in your group it will obviously affect your pace.