It sort of makes sense, on longer climbs I always sit right at the back of the saddle.
I read something about it recently, but cant remember where! The gist was when you shift around on the saddle if you're "on the rivet" powering along on the flat you sit forwards, which effectively shortens the leg, whereas if you're climbing sat down, you probably sit further back, which lengthens the leg.
If you don't shift round on the saddle much I can see why it might feel as if you want to adjust your seat height. Having faffed around measuring my bike setup recently have noticed my saddles are roughly the same height, but as the frame geometry on each is different each is in a different position fore and aft. They've evolved that way based on what feels comfiest.
Tourer, further back, slightly lower = more relaxed
Road, further forward, slightly higher = whizzier (or not, if you're me!)
Audax, in between the two.