I think people vastly overestimate the possibility to recover any data from a wiped HDD.
See for example this article by SANS [1]. To recover a single bit you have a better chance of flipping a coin to see if the bit was a zero or a one then you have when you are actually trying to reconstruct it with lab equipment.
[1] https://web.archive.org/web/20140621130410/https://digital-f...