The WiK content had hard mode available for bounties. You get +50% War Supplies reward for doing so and nothing else.
That's 50% more, rounded down. So if a bounty is worth 3 in Normal, you get +1. 15, +7. To me, the extra hassle tends to be very much not worth the additional 50%, since Hard Mode is not just slightly more difficult for WiK content, but incredibly difficult due to the diversity of the mobs and the randomized builds the enemies use.
For the new quests, Hard Mode only makes it more difficult and you get better drops, but you do not get a better reward.