Can an electric LSH incorporating an additional heat generator, apply the correction factors F1, F2 and F3, even if the control only controls one of the heat generators ?

Yes. The regulation does not specify that the control should be able to control all the heat generators. Therefore, the correction factor can be applied even if it only controls one of the heat generators.

^{Disclaimer: Please note that the European Commission cannot provide a legally binding interpretation of the EU legislation, as this is the sole competence of the European Court of Justice. Any remarks from the European Commission services are without prejudice to the position the Commission might take should related cases arise in a procedure before the Court of Justice.}