My touring/hybrid bike, in road-going trim with mudguards, lights and rack, is 15 kg. Add on 75 kg of me plus clothes, and 5 kg of even the most basic day ride/commute luggage (tools, pump, jersey, waterproof, in pannier) and you have 95 kg. Cycling at say 150 W up a reasonable hill of 5%, spreadsheets suggest I would do 5.7 mph. Suppose I lightened the bike by a massive third to 10kg. My speed would increase by 4% to 5.9 mph. Make the gradient half that, 2.5%, and the gain in speed is only 3%.
Every gain is worth having - but in my opinion, differences in weight are likely to be less significant than how rigid the bike is, what sort of tyres it has, and whether it encourages an aerodynamic posture. Plus, there's the incalculable factor that a light bike might well encourage you to work harder. A traditional touring bike may weigh the same as a cheapo gas pipe job, but would be a much easier ride, despite the weight, because of those other factors.