Without a process flow scheme or DCS screen print(s) of the system it is difficult for outsiders to understand the nature of the problem.
In a normal steam reformer the outlet temperature of WHB is temperature controlled via an internal bypass in the WHB, but in your unit there is no such control?
I assume this WHB and HTS is located in the same steam reformer unit that you posted about in the past. That unit did not have a temperature controller at the syngas outlet of the reformer heater and was basically operated on glorified handcontrol via a manually set fuel fired duty based on wrong heating values. Apparently the poor control philosophy extends also to the rest of the plant. You really should complain with the licensor about this.
You should realise that, if the WHB has no outlet temperature control, it simply does what its UA permits. A lower reformer outlet temperature results automatically in a lower WHB outlet temperature and lower HTS inlet temperature. Also the quantity composition of the syngas, notably its steam content, have an impact on the syngas specific heat and thermal conductivity, and thus on the performance of the WHB and consequently its outlet temperature.