This is true. BUT, increasing the flow rate will usually *reduce* the outlet temperature of the liquid you're heating. These two statements are not contradictory once you consider that heat transfer rate is equal to mass flow rate times specific heat capacity times the temperature rise.
Q = mdot*Cp*(Tout - Tin)
Increasing the mdot, while reducing the (Tout - Tin) can still result in a rise in Q.
If the fluid is being recirculated to a holding tank, then then only concern with increasing flow rates is the increase in pumping power needed and possibly flow-induced vibration.
But if its a once-through, or open-loop system, increasing the flow rate will reduce the outlet temperature for the 'once-through' fluid and may drop it below the desired range.
So, it depends on the exact application, and whether the heat-exchanger's outlet temperature is paramount or maximizing the BTU/hr rate to a recirculating fluid is the main concern.
daestrom