Is giving gifts or money to a rich person regarded as Sadaqah?

The following hadith says: > Abu Hurairah (May Allah be pleased with him) said: > > The Messenger of > Allah (ﷺ) said: "A man (from amongst the people before you) said: > 'Indeed! I will give in charity.' So he took his Sadaqah out and > placed it in a thief's hand. > > In the morning the people were talking > (about this incident) and saying: 'Sadaqah was given to a thief last > night.' The man said: 'O Allah! Praise be to You. I have given Sadaqah > to a thief. Indeed, I will give in charity!' So he took his Sadaqah > out and he placed it in a prostitute's hand. > > In the morning the people > were talking (about this incident) and saying: 'Sadaqah was given to a > prostitute last night.' On hearing this, the man said: 'Praise be to > You, O Allah! I gave Sadaqah to a prostitute. > > Indeed, I will give in > charity!' So he took his Sadaqah out and placed it in a rich man's > hand. In the morning the people were talking (about this incident) and > saying: 'Sadaqah was given to a rich man last night.' The man said: 'O > Allah! Praise be to You (for helping me) give charity to a thief, a > prostitute and a rich man.' > > Then he had a dream in which he was told > that his Sadaqah to the thief might result in his refraining from his > theft, his Sadaqah to the prostitute might help her abstain from her > immorality, and his Sadaqah to the rich man might help him pay heed > and spend from what Allah had bestowed upon him." > >[ \[Al- Bukhari\]][1] . This hadith seems to imply that giving money to a rich person is sadaqah. However, it is unclear if this rule apply to the Ummah because it may be a story about people of other prophets (the rules revealed to other prophets don't apply to us). Is giving gifts or money to a rich person regarded as Sadaqah?