Is that good grading of fine aggregate and fineness modulus any related?

Finess Modulus is just a value (number) indicating the fineness or coarseness of the aggregate. So, a river sand (natural sand) will be in the range of2.5 or so to 2.7 and P-gravel (P-stone, Birds-eye) may be around 5.0

Natural sand is used to make concrete block. Natural sand is also used to make ready mixed structural concrete along with water, cement powder, and a coarse 3/8" to 3/4" aggregate like limestone or gravel. SO, there are ASTM standard that regulate the gradation of aggregates for concrete masonry and structural concrete (ASTM C33 is one of them).

Mason sand is used in precast concrete to emulate a fine limestone-like texture. It is also used in mortar and grout.