@dor123 Thanks for sharing this really hard to find information

Officially, no. In practice I believe 14W HE will run on 13W magnetic just right, may be with just a minor lifetime penalty due to a higher current crest.
13W tubes run on 14W HE electronic ballast with a slight overdrive. IEC 60081 datasheet prescribes 150mA for 13W tube on HF, 14W ballast will run it at 170mA, but still within IEC 60081 spec (180mA max). Nice T5 HE programmed start electronic ballasts are so ubiquitous today, not much need to play with magnetics.