IF ONLY I had a plan...
The lesser of two evils?
I'm in the camp to favor that the "regular" medicine would be needed. It's not explicit, but in other cases where they refer to a card category they tend to use the symbol rather than the word. Moreover, thematically this makes better sense.
Unfortunately, that would be very inconsistent with the current FAQ ruling for Edward White:
1.3.2 Can I use any card with a medicine symbol to use his ability?
Yes. You may use Medicine, Adrenaline Shot, or any other future cards with the medicine symbol on it to activate his ability.
This issue could have been avoided completely if the designers had the forethought to avoid giving a specific card the same name as a card category.