specular reflection is diffused an very week compared to mirrors.
As the original Maxwell Smart, Agent 86, used to say after being told long directions; "you lost me at the bakery" with that one. Specular reflection is how mirrors reflect, they do not have a diffuse reflection so unless my wake and bake really did me in I just don't understand what you meant when you said; "specular reflection is diffused an very week compared to mirrors."
That is an example of specular reflection, that is how mirrors reflect a single ray of light. Whatever angle light strikes a mirror it is reflected at the exact same angle. Add multiple rays of light and you have the exact same thing, just with more rays of light running parallel to each other, all coming off the mirror at the same angle they struck the mirror.
It is not a diffuse reflection.
This is diffuse reflection. The blue lines are light rays striking the reflective surface and the red and black lines are the reflected light rays. Even though all light rays come in at the same angle the light rays are reflected in all different directions and they are reflected at differing angles. That is diffuse reflection. The reflected light rays are split up and reflected in different directions. They cover more area, a wider broader area, they reflect light to places specular reflection cannot reflect it.
It is the same basic principal behind the higher dollar and higher quality dimpled/textured reflective light hoods. The light rays coming from a bulb are reflected in a diffuse manner, reflecting in far more different directions giving a wider broader more even distribution of reflected light than what comes from a smooth surface that only provides a specular reflection.
An my price was free, witch is cheeper tham mylar an panda.
That goes a long way to explain why you use mirrors. To many people if something is free or even just very inexpensive regardless of how poor of an option it is to use, it because impossible for them to resist using it, when to instead use something good to very good to great would mean they would have to pay a little to a bit to a lot.
The friend I have known longest in life, roughly 47 years now, is a carpenter and he gets his hands on all sorts of things for free ... and he finds some way to use almost all of it ... and regardless of how impractical something may be to use the way he ends up using it or how poorly it does the job he uses it for, because it was free he will still use it. Then, what I consider too be the amusing part of it all, he then convinces himself, and then tells others, that it is the greatest thing since sliced bread and works better than that stuff I, or someone else, paid for.