No they don't!
Shimano 7, Campag 7 and 8 all have the same pitch, 5.0mm
Shimano 8 has 4.8mm, but the floaty top jockey on the Shimano mech means that it can be persuaded to shift OK with 7s.
Campag 9 has a pitch of 4.5mm (if I remember right)
Shimano 9 has a pitch of 4.35mm
Furthermore, Shimano and Campag mechs move different amounts for the same cable pull.
Campag shifters pull a bit more per click than Shimano.
By chance, Campag 10 and Shimano 8 have the same cable pull per click, so you can run a Shimano 8 back end with Campag shifters.
To further complicate things, Campag altered their shifting in 2001 in preparation for 10 speed and so there are old and new 9s shifters and mechs.