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If the flow rate decreases while the heat exchanger increases its heat transfer area, it is possible that not only will the amount of heat transferred not increase, but the intended heat transfer process may even fail to take place
When the flow velocity decreases to a certain level, the flow regime changes, which in turn affects the heat transfer coefficient (it becomes smaller). So it is possible that not only will it fail to increase the heat transfer rate, but it may even be unable to complete the intended heat transfer process.
Increasing the heat exchange area may result in a lower fluid flow rate, thereby reducing the efficiency of heat exchange and failing to meet the heat transfer requirements. (The greater the flow rate, the better the heat exchange effect, and vice versa.)