The classification of the local space heater is dependent on its intended use and how it is marketed (in the catalogues, leaflets, etc.). If the product is marketed as a local space heater that can be used either as a portable or as a fixed local space heater, then it has to comply with both requirements.
In practice, this means that the product has to comply with the most stringent requirements, i.e. those of the fixed local space heaters.
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.