The flights climbed number for me is off. I'm not surprised at that, FitBit got rid of the feature for the same reason (it's really hard to get right), but I'm a bit surprised that since it's not very accurate it was included at all.
When I experimented with my FitBit I had to exaggerate my vertical motion when going up and down stars to get it to register well. It seems I'm too 'smooth' walking up and down stairs to reliably trigger the mechanism.