It's sometimes hard to separate the 'does the cutting the allocation help produce better results' or 'are more Hibs fans buying tickets precisely because we're more likely to beat them'.
The recent record with Celtic having a half stand:
P1, W1 D0 L0
The recent record with Celtic having a full stand:
P7 W1 D4 L2
The recent behind-close-doors record:
P2 W0 D2 L0
Having written that out, it's obviously not an exact correlation and it doesn't equal causation, but when Celtic had half their usual capacity, we won. Even during a bit of a tailspin under Lennon. When we give them a full stand, we can often match them, but more often than not we end up losing.