Not in my experience, dd (dc3) was born 1.5 hrs after my first contraction - including half and hour trying desperately not to push because the midwife insisted I couldn't possibly be ready and refused to check, as I wasn't dilating at all when she checked an hour before. 
Yes it hurt, but then again I had no pain relief, as the lovely mw also didn't believe I needed to be on the labour ward. 
In the end it was just a couple of pushes and dd shot out torpedo stylee, complete with her amniotic sac and waters, which then burst as she hit the bed! 
Fastest and easiest birth of the lot.
By comparison, ds1 and ds2 were both back to back. Ds1 was a 3 day agonising labour, with epidural, ventouse and very nearly a CS. Ds2 was 24 hours-ish, just GA and a nice easy delivery at the end.
Same goes for my dsis and two of my friends. All of them have 3 dcs and in each case the third was the easiest and shortest of all their labours.
I was told similar horror stories about third births when I was pregnant with dd. Please don't worry about it, just relax and enjoy the pregnancy. 