As I understood the rules you are not loosing an equipment card when getting a wound. As there are no wound cards anymore wounds are also not blocking equipment slots anymore.
Correct, there is no mention of it so if you took this as a stand alone and was not aware of the previous Zombicide rules you would not even consider it.
I am doing a play through of this on Youtube and have caught myself questioning because a rule in the original game does not apply. Hard to shake what you know.