Before answering your question, let me cite the verse you have referred to:

“O YOU who have attained to faith! Do not enter the Prophet’s dwellings unless you are given leave; [and when invited] to a meal, do not come [so early as] to wait for it to be readied: but whenever you are invited, enter [at the proper time]; and when you have partaken of the meal, disperse without lingering for the sake of mere talk: that, behold, might give offence to the Prophet, and yet he might feel shy of [asking] you [to leave]: but God is not shy of [teaching you] what is right.  And [as for the Prophet’s wives,] whenever you ask them for anything that you need, ask them from behind a screen: this will but deepen the purity of your hearts and theirs. Moreover, it does not behove you to give offence to God’s Apostle – just as it would not behove you ever to marry his widows after he has passed away: that, verily, would be an enormity in the sight of God.” (Al-Ahzab 33:53)

 

There are a number of reports indicating the occasion of the revelation of the above verse. The reports vary regarding the details; yet all agree that the verse was revealed because of the crowding of people in the house of the Prophet and lingering around almost invading the privacy of the house.

 

The report from `Umar best expresses it: `Umar said to the Prophet (peace be upon him): Your house is frequented by all sorts of people: Pious and impious; I wish you order your wives to cover themselves.” And he said, Allah answered my wish by revealing the above verse. In another report from Anas, who served the Prophet (peace be upon him) for ten years (helping him in his chores) said: The verse was revealed on the occasion of his marriage to Zaynab bint Jahsh: The Prophet (peace be upon him) had invited people to partake of the wedding meal; and some people continued to linger around the house way after the meal was served.

 

It was an intrusion on the privacy of the person – aggrieving him. Hence the above verse was revealed.

 

So, all that we can say is that the verse was revealed in order to protect and safeguard the privacy of the Prophet and his wives. The Prophet’s house unlike that of others was visited by all sorts of people and hence there was a need to teach them some etiquette as to how to conduct themselves while visiting him and interacting with his wives.

 

There is no need to embellish the story with details that are not warranted by the authentic reports.

 

Almighty Allah knows best.