It's not just the touch -- it's attempts to feed that specifically hurt the vampires.
Correct. The only White Court that get burned just by touching are those completely out of control like Madeline Raith, who try to feed instinctively/habitually whenever they touch a mortal. (Thomas gets burned when he touches Justine for a similar reason, but in his case it
only applies to her; in BR/DB/PG/WN when Harry is under True Love protection, Thomas can touch him just fine without getting burned, since he's not trying to feed on Harry.)
So in this case, if a vampire uses Incite Emotion to try and feed on them, they'd get blow-back in the form of a compel, possibly resulting in damage.
I think it would actually require use of Emotional Vampire to feed, not just Incite Emotion - in BR and WN Harry gets hit with the lust-waves without burning the Raiths, it's only direct feeding that burns them.
EDIT: And True Love only protects against lust-feeding White Court, like the Raiths; if you meet a Malvora or Skavis, you need True Courage or True Hope.