The actual flame temperature will depend on the boundary conditions.
The adiabatic flame temperature can be used if there is no losses which means that your flame does not heat up some heat sink.
If you are not in adiabatic conditions, then you need to evaluate the heat transfer. Usually, in such an analysis, you do not only get the flame temperature but also the boundary (wall) temperature. This wall temperature is obviously depending on the system considered: boiler, oven, kiln, ...
If you are able to evaluate the wall temperature independently (like a measurement), then you can calculate the heat losses from the flame from the usual radiation formula. The emissivity of the flame will be the main parameter and will depend on several aspect: is there a lot of dust in your flame, the amount of water and CO2, the geometry of the flame, the mixing of the gas and all profiles within the flame. This may get so complicated that a full combustion code maybe needed.
Fortunately it is sometimes made easier by some empirical knowledge. For example, by doing many simulation of a given kiln, I could conclude that the radiation losses were typically 25% of the heat value (taking into account the combustion air preheating). Therefore, it became easy for me to make a rough evaluation of the flame temperature of different fuel mixes and to use that for some optimisation.
So, this is a rather complicated question, but simple answers are possible sometimes.
Michel