The petrochemical reaction mentioned here is also called a silicification reaction. Why? Silicification is the chemical reaction process by which an object is subjected to silica.
Petrification generally refers to the process by which the remains of animals and plants in paleontology become fossilized. There are several kinds of petrochemical effects: mineralization is a concept of solid minerals, and there is also a concept of the same name in paleontology, which is a kind of petrochemical action; silicification is a process of silica, which is also a kind of petrochemical action.

Therefore, the petrochemical reaction between the paint and the wall here refers to the silicification reaction, which has nothing to do with paleontology.
The main component of inorganic coatings is the characteristic liquid potassium silicate (i.e. water glass), which is oxidized with metal inorganic pigments and special dilutions, and after being applied to the surface of the mineral matrix, it can penetrate into the surface of the matrix without any binder and produce a silicification reaction.
After 35 to 40 days, a hard waterproof and acid-proof silica surface layer is formed, which is permanently integrated with the wall. At the same time, due to the silicification reaction, the building wall has a layer of petrochemical silica protection.
The above is the explanation that inorganic paint will penetrate the wall after construction and petrochemical effect.