I am not incorrect.
Look at your formula. q=hA (T1-T2)
q = Watts = Joules/Sec
Right away, time is important.
h = coeff of heat transfer = W/(m2 * C)
A = Area
Time is very important when talking about any heat transfer. If the fluid is moving too fast, it doesn't give enough time for the fluid to pull heat from the engine. The coolant wont boil over, but the engine will run hot.
Joules is energy, heat is energy. The formula is calculating how much heat per time it can transfer. So if you shorten the time, it pulls less heat out.
Think of MPH, traveling at 80MPH, in 30 mins you went 40 miles, in 15 mins you went 20 miles.
TIME is important.