As with regards to the wiping then all the scholars of Fiqh are in agreement that it is allowed for a person to wipe the leather socks, but they differed about the wiping of any other type of sock.

Some scholars allowed it where as others did not, and from the latter group i.e those who did not allow it were Imaam Maalik Imaam Shaafi’ee and Imaam Aboo Haneefah. As for those who allowed it they were Aboo Yusuf and Muhammad [students of Imaam Aboo Haneefah] including Sufyaan ath-Thawri and Imaam Ahmad bin Hanbal.

And the reason for the difference of opinion was that they differed about the narrations mentioning wiping of the socks, are they authentic or not? As well as wether you are allowed to wipe the socks simply because you are allowed to wipe the leather socks and the fact that the two resemble eachother.

So as for the scholars who considered the hadith not authentic or the hadith might not have reached them and they did not allow wiping the socks based on the wiping of leather socks then they gave the ruling that it was not allowed.

As for the others who considered the hadith authentic and allowed the wiping of the socks based upon the wiping of the leather socks then they allowed it.

The narration is not mentioned by Bukhaari nor Muslim but it is declared authentic by at-Tirmidhi

And it has been reported that Imaam Maalik allowed the wiping of the sock as long as the bottom was made out of leather.