No is the short answer…
They’re all different. I’ve got a lightweight(ish) and fairly minimal Genetic one on my road bike, an all-purpose Specialized BG on the urban bike and a Charge Spoon on the mountain bike. I’ve never really had a problem with saddles though, so I’ve never found the ‘perfect’ saddle for me.
You do have different needs on different bikes though, especially on the mtb. For the track you’re not going to be changing your position much during a session so if the saddle you use is comfy for your road bike, I can’t see why it’d be a big problem on the track.