I would like to add my two cents to Mcquire's very well vulgarized explanation (I should have been more to the point...)
A) Textured material show anisotropy has noted.
B) Because all grain structure have anisotropy!
C) So if one could force all the grains to have the same preferred orientation (lamination) then the resulting piece of material would have values of ductility, Young's modulus etc has a function of direction of testing.
D) Forming a bowl with such a material would create sever hearing and even localized cracks.
E) A perfectly isotropic material then shouldn't have texture! And will have a unique (average) value for its mechanical properties in all directions.
F) A bowl made with a isotropic material will be uniform and present no gradient in surface finish and thickness.
But a little correction about thinning:
A) The thinning of a material during tensile testing is related to its Poisson's ratio.
B) For example: Austenitic Stainless Steel has a Poisson's ratio of 0.28
C) Plastic (ABS) : 0.34
D) Iron: 0.29
E) Cupper: 0.34
F) So we see some difference but not enough to explain the fact that austenitic stainless can have an elongation at rupture up to 60% but Steel never goes past 25% (alloyed)
G) The reason why BCC type crystal lattice have such a small elongation at rupture (e) is not related to the material's anisotropy but to the capacity of this lattice type to permit the movement of dislocations. These dislocations will permit the grains to "glide" on each other. The FCC type lattice has very dense plane that let these dislocations run more freely, the BCC type does not and will anchor them faster and stop the deformation earlier.
For fun with Poisson's ratio see: