Slightly lower in XC mode & obviously a lot lower when pointing properly downhill.
Those that say "the same – why wouldn't you?" – are you from a serious road racing background, a leisure road or gone to road from mtb? I'm from a background of years of road racing, time trailing and triathlon (hence the user name) and the saddle height I use on the road, brought about by a few different bike fits and analysis sessions plus thousands of miles of graft, is proper high (802mm centre bb to saddle top with 175mm cranks & shimano spd sl pedal for a 33" inseam rider) and whilst biomechanically I'd like to ride the same off road it does not work so well in the more dynamic environment. On a FS it is also practically impossible for me with a dodgy hip to get on it with saddle at that height as the saddle is so jacked up until you sit on it!
This is where my personal problems start – a years old knee problem from when I was riding silly numbers of miles at elite level means that on the road if my saddle is even 5mm too low at about 80 miles my knee hurts like mad. When I transfered to off road this has been a bit of an issue on longer riders though the more stop start nature of mtb riding has saved the day a little. For this reason my next bike will have an adjustable seatpost to encourage me to get the seatpost height right up whenever possible.
edit – and to answer above – yes, most proper roadies will know "their measurements" to within a mm or 2 – in roadie mode and time trial mode. Not just saddle height but top tube, saddle tip to centre of bar etc etc. It does make a difference – not just to performance but also to injury prevention esp as you get older. I would even go so far as to change my saddle height dependant on the make of shoe or pedal being used.