This would be a neat idea, but moreso if the wound system was more fleshed out.
First an foremost, blood loss and infection need to be a more common hazard. Basically go with the idea I’ve mentioned before of making blood loss be a common result of cutting injuries, and have a bleeding wound drain from a blood meter instead of damage the affected body part. Blood would recover over time, but not be as easily healed on demand. There could of course be a few sci-fi items, bionics, etc to restore it.
Blood transfusions might also be an option, but that would be a difficult thing due to implement AND use, due to spoilage and blood types, unless we assume that synthetic blood is a futuretech thing. Plasma replacement would be more logical, as well as intravenous rehydration with saline solution or coconut water. We’d need a way to limit the effectiveness of it.
Second, infection. A possible result of any bleeding wound, but the chance should possibly be small, to avoid player annoyance. Disinfecting the wound first would massively reduce the risk of infection. We maybe should divide disinfecting items into more charges. Make the amount consumed depend on the severity of the wound.