If I were to make wudu, then put on socks, then break my wudu and then make wudu again wiping over the socks; if I were to take off the socks at this point, would my wudu still be valid or would I have to renew my wudu according to the hanbali madhhab?
Your wudhu would become invalid according to the madhhab as well as the vast majority of scholars, and you would have to repeat your wudhu again including washing your feet.
NB: I am still getting used to the system of the website so the late reply to this question is due to not being aware of it. By the Will of Allah, the process will be quicker in future!
And success is from Allah