but I can't understand how it makes the lighting worse than the current bulb. If I reflect a brighter bulb with the same reflector won't it shine further?
Great question and here is the reason why. 90% of the Hi beam "extra light" you see in a conventional TWIN filament setup does not happen because of the filament wattage difference. Yes, in most cases the low beam may be 55 watts and the high beam is 65 watts but that 10 extra watts is not what makes the road "really light up" when you flip the switch to high beam. If you look close at a dual filament bulb, you will see the filaments are Physically shifted in distance from each other. That is not just some un-calculated amount of filament shift or distance. It is a VERY calculated distance. When you shift the focal point of the filament in respect to the reflector, even just a little bit, it forces the light to bounce off different facets of the rear reflector. The light now scatters high and wide using different facets and angles to achieve "lighting up the road".
I am NOT saying a higher wattage bulb does not have an effect on the blanket of light that comes out of a fixture. Of course it will. But you could take a low beam filament and make it 200 watts and it would not scatter the light like a shift in filament position will.
Now in other words, you could ALMOST achieve the same Hi beam effect just by leaving the low beam on and reaching to the base of the bulb and moving the bulb to the Hi beam shifted position focal point.
The problems really begin when using HID bulbs in standard filament fixtures because the HID capsule "light ball" is slightly longer than the filament "light ball". I have the exact specs on these numbers somewhere in my stack of manuals and books if you really need to know what they are.
So with knowing that, you should begin to see what happens. Even if you have the focal point of the HID light ball perfect, since the ball is longer in length, you will have edges of the ball overlapping into the HI beam focal point of the filament designed fixture.
The end result is 100% of low beam coverage and maybe 20% of Hi beam scattered light. It really becomes a mess if you don't incorporate some type of "shields" on the capsule to cut back it's "ball length".
Now you also may begin to see why the original horizontal or vertical placement of the filament becomes so important. An original Horizontal filament fitted with HID would have even MORE overlap of light into the Hi beam pattern.
There is more to it than just this but I think this will help you get an understanding as to what is involved in fixture design.