Not quite but I generally have put the same (or close to the same) saddle on many of my bikes.

Of my main bikes that are more composed (a lot of projects going on)
Co-Motion Cascadia- Brooks C17 Carved S (which may get an all weather at some point)
Foundry Chilkoot-Brooks C13 158mm Carved
Single Speed/Fixed Gear Randocross FunTime Machine - Brooks C17 Carved
Specialized Langster Rio - Brooks C17 Carved All Weather
Phil Wood Apple Velo XS - Brooks C17 Carved All Weather (though that may get swapped with the one on the Cascadia)
New Albion Privateer - Generic Giant hybrid saddle (because the bike is a parts bike that I might lock up some where I want something I don't care about but for longer rides I can swap out for a C17)
1985 Trek 520 - Avocet Touring II ( not sure if it was a stock saddle but came on the bike from a friend though probably not keeping bike but if I did and wanted to ride it a bunch C17 no question )
Salsa Timberjack Ti - Ergon SMR3-L Pro Saddle Large (I wanted to try something different on the MTB, haven't built it up all the way)

The Sequoia Pro Module is going to have a Brooks C17 Carved All Weather on it but that is still in a box.

I have tried various WTB saddles, a Pro Griffon Ti Saddle, Specialized Toupé, Selle Italia Super Turbo (which I have brought back a little with occasional coats of Desert Essence Body Lotion), Soma Ta-Bo saddle and some other saddles I cannot recall at this time. However I didn't care for most of them enough to really want to keep them on a bike. I think I have found a saddle that my sit bones and butt really like and I don't really want to change it. Though I do wish for a ti-railed version and some other colors and maybe Brooks will abide at some point but until then I am happy with what I have.