Improvements for Fiora's new Ult

Today I just had an epiphany on how to make not only the Ult better overall, but I believe funner and more skillful to use. Instead of granting movement speed when around your targeted enemy champion, how about you get a reduced mana cost and a huge cooldown reduction on your Q (Lunge) when around your targeted champion (THIS IS KEY, ONLY AROUND TARGET). This effect would basically allow you to use your Q almost as much as Yasou's E so long as you stick around your target (I believe a little longer of a cooldown than Yasou's E would be best, maybe 1 second or so), and would not only make the Ult actually give you an advantage in the fight, but it would also solve the issue of having the passives being hard to pop, because now you have incredible mobility, but only when you are near you target. I realize this might give too much damage to Fiora with the current numbers on her Q, but with a bit of tweaking I think this idea would not only be effective, but fun as hell to play as. Think of the plays you can make doe..

Anyways, I would love to hear your opinions on this change, whether you think this might be too strong and break the game, or maybe it is too weak. I think it would be just what Fiora needs to make this rework a complete success.