As a simple point of logic, how does this disprove anything? The original source of the fabric says nothing about what was done with it after its manufacture.
Furthermore, the fact that Jesus was buried in a rich man's tomb should tell anyone with any kind of sense that assuming the shroud is typical for the area borders on being willfully obtuse.
The simple point of logic is that the shroud of the rich guy is made of probably the best (i.e. expensive) material of the time, and the “Shroud of Turin” is made of material so much more advanced that it couldn’t be from that time.