You are derailing the discussion with your stupid provocative way of asking
On His way from Khaybat to Medina the prophet scw took one of the Jews girl's who was a prisoner of war so the sahaba asked themselves if this new girl will be the prophets wife or just a concubine, one of the clues that they will recognise if Safiya was a concubine or the Prophet's wife was that if he veils her he freed her and she is his wife and if not she was to be his concubine
What do we learn from this straightforward hadith in the sahihayn? We learn that slave women do not wear hijab and are not required to do so
It seems we’re going in circles as you do not understand and keep ignoring what I’ve stated. I’ll try to explain in plain English, but I won’t continue anymore. The Hadith says that the wives of the Prophet (saw) will have a hijab, which is what the Quran says:
And when ye ask (the Prophet’s wives) for anything ye want, ask them from before a screen(hijab): that makes for greater purity for your hearts and for theirs.
Qur’an 33:53
They were commanded to have a hijab, and this is specifically for the wives of the Prophet(saw).
As for other Muslim women:
O Prophet! Tell your wives, your daughters and the women of the believers to draw their jilbābs (cloaks) over their bodies. That is better so that they should be known as respectable women and not be harassed. And Allah is Ever Oft-Forgiving, Most Merciful.” [33:59]
Ibn Taymiyyah stated in Al-Fatāwā (15/447): “The verse about the jilbāb refers to the outer garment that is worn when leaving the home. And the verse about the hijāb (being screened) refers to speaking [to the women] while in the homes.”
Allah says that women of the believers, along with the daughters and wives of the Prophet(saw) have to draw jilbabs over their bodies. For some reason, you are equating the hadith (hijab for the wives of the Prophet saw), to the jilbaab, and saying the former is proof that slave women who are believers don’t have cover their bodies(jilbaab).
The Quran also says:
And tell the believing women to.. And let them draw their khimārs over their heads, shoulders and bosoms (juyūb) [24:31]
No distinction between slave, free woman, mother of the believes, simply believing women have to have a khimar.
Thus: All believing women have to observe the khimar, and the jilbaab, whereas the wives of the Prophet (saw) have to have a screen(hijab) in their homes. It’s a form of respecting the Prophet’s private life and sanctifying his wives. And, it doesn’t actually represent a form of clothing, rather it is a physical barrier that separates such as a wall, or a curtain. The hadith you quoted is simply reiterating that point, that specifically the wives of the Prophet (saw) will have a screen(hijab) in their homes. So what relevance does that have to the jilbaab and the khimar which is commanded for all believing women?
The Last part obviously isn't included in the hadith. This is the hadith:
رأى عمرُ أمةً عليْها جِلبابٌ فقال : عَتَقْتِ ؟ قالتْ : لا ، قال ضَعِيهِ عن رَأْسِكِ ، إِنَّما الجِلْبابُ على الحَرَائِرِ ، فَتَلَكَّأَتْ فقامَ إليها بِالدُّرَّةِ ، فضربَ رأسَها حتى ألقَتْهُ
Omar saw a slave girl wearing a jilbab and said: “Have you been freed?” She said: “No.” He said: “Take it off your head, for the jilbab is only for free women.” She hesitated, so he went to her with a whip and hit her on the head until she dropped it.
dorar.net
This is not the same hadith that I quoted, but either way it’s another wrong fabricated barbaric hadith.
Hitting the head with a whip repeatedly? So potentially permanent brain damage, damage to senses, mental impairment, skull fracture? Such a punishment in and of itself is haram for any crime, let alone Muslim woman following their religious obligations.