Thank you for your quick reply.
So taking the outcome in that link as an example:
H(2) = 8.520, P = 0.014
P-value is smaller than 0.05, meaning that the 3 drugs are not giving the same results.
My problem is whether the H-value is needed to interpret the outcome? As far as I am understanding the H-value does not have to be used, as the p-value is enough.
That's probably audience and format dependent. Check with others' work at your institute or target journal. I would rather be safe to attach it and then delete later if recommended by the supervisor or editor, that way you don't need to delve into the output again.