Annie, the ultimate flavor and texture of a cheese is influenced by two (high-level) factors: biological and mechanical. The biological factors are the milk you use including its butterfat, flavors from the diet, and naturally occurring bacteria, etc; as well as by the cultures and additive you use when making the cheese. So, using different cultures will impart different flavors and textures. The “mechanical” factors include the things you do to manipulate the cheese like temperature, time, stirring, draining, pressing, waxing, etc.
So, there are many, many “knobs to turn” when making cheese!