This again comes to the area of energy density. High-nickel materials will provide larger energy density cells, which translates to a larger driving range. Typically, those materials would give a shorter charge/discharge cycle life, hence a shorter total driving distance for your vehicle. Lower-nickel-content materials would have smaller energy density, which would mean a shorter driving range on a single charge, but a longer calendar lifetime, typically.
For example, Volkswagen uses a material that would be synthesized with lithium carbonate. Panasonic, which supplies Tesla, would use a material that's synthesized with lithium hydroxide.