All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
The chain of narration of the story which you pointed to in the question is authentic and it was reported by Abdur-Razaaq in his “Al-Musannaf” on the authority of Ma’mar, from Ayyoob from Ibn Seereen that Abu Hurayrah used to say to his daughter: “Do not wear gold as I fear for you the heat of the flames (of fire).”
This was from Abu Hurayrah as a way of being more pious and ascetic and that he feared about his daughter that if she was too keen on doing (wearing) what is permissible, she would exceed this to do (wear) what is not permissible, or rather that he feared for her that she would not pay its Zakah.
However, this was the view and choice of Abu Hurayrah but the majority of the Companions disagreed with him on this point, as they adorned their wives and daughters with gold and they did not see any problem in this, and the opinion of the majority of the Companions is the correct opinion.
Allaah Knows best.