I used to ride
a nearly 18 kg bike (don't ask me how it could weigh so much) in 2010-2011 after which I upgraded to
a 13.5 kg full suspension and then bought
a 12.5 kg hardtail to complement it. The weight difference is mostly felt at two points of the ride - carrying the bike downstairs when leaving and upstairs when coming home. Of course the current ones handle trail riding far better but it's hard to say if it's because of the weight or because of far superior geometry and suspension technology.
One thing is certain though, people putting hundreds of dollars/euros/pounds into a bike to make it lighter are either taking their hobby very seriously or have too much money. 1€ per 1g is considered cheap at least over here and it means that pouring 300€ into the bike would make it 300g lighter (Captain Obvious has struck again, see) but... being honest, would you notice a difference of 300g in a bike that weighs
13000g especially if it was taken off here and there? Not to mention that the same change could well cost twice that. I can understand swapping derailleurs for higher spec because they make a very noticable difference, the same goes for better brakes, but I'm having a hard time seeing how having a 60€ carbon bottle cage that weighs 20g instead of a 5€ alloy version that weighs 50g is worth the price difference, or paying 150€ for a carbon handlebar that weighs 200g while an alloy version weighing 300g came free with the bike.