Yes
Normally, you will get sent to secondary inspection. It won't take as long as the first time.
I travelled a lot (Over 30 trips) on AP and there were only three times I did not get sent to secondary inspection.
Time 1: Toronto airport.
The inspector said: "You're in luck, I have the special stamp here with me" and put the AP stamp in right at the first counter.
Time 2: Toronto airport, two days later.
Inspector looked at the last date and simply wrote something on the back of the AP document and did not restamp my passport.
Time 3: Driving, at a border crossing.
Inspector asked for our status, when I offered the think pile of passports and AP documents (I have 4 children) he waved us through without touching them.
AP is slow becuase of the extra inspection but I never had a problem.