Can't understand Belady's anomaly

So Belady's Anomaly states that when using a FIFO page replacement policy, when adding more page space we'll have more page faults.

My intuition says that we should less or at most, the same number of page faults as we add more page space.

If we think of a FIFO queue as a pipe, adding more page space is like making the pipe bigger:

 ____
O____O  size 4

 ________
O________O  size 8

So, why would you get more page faults? My intuition says that with a longer pipe, you'd take a bit longer to start having page faults (so, with an infinite pipe you'd have no page faults) and then you'd have just as many page faults and just as often as with a smaller pipe.

What is wrong with my reasoning?