All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
What is meant by the Hadeeth you mentioned is that it is legislated for one to perform ablution when he wants to have sexual intercourse for the second time with his wife. Performing ablution after intercourse is recommended according to view of the majority of the scholars.
The meaning of the Hadeeth in question is clear and it does not need to make an in-depth investigation about it as you suggest, and we noticed that you treaded this non recommended way in your previous questions and detailing issues, so beware of it.
In any case, the recommendation of repeating the performance of ablution mentioned in the Hadeeth, is attached to the will of having intercourse again. The ruling is not connected to the issue of ejaculation at all, and this is not mentioned in any narration of this Hadeeth. Also, this was not mentioned in the interpretation of this Hadeeth by any scholar –according to our research on the matter.
Allah knows best.