Don't forget that piping adds capacity. Larger pipe ads more but flow slows down and can cause turbulence. Re( Reynolds value over 3k can be probable turbulence).
V=velocity of liquid
P(rho)= density of liquid
D= diameter of pipe
m(mu)= viscosity of liquid
Ideally the liquid flows best with laminar flow, and will have a parabolic flow pattern ( edges travel slower than middle) and the pump may get more work than designed for it by making the feed line to the oil cooler too big, but you may be able to add significant amounts of oil to the system and keep a smaller tank.
See I was going someplace with that.