I definitely agree Triumph is a problem since it's easy to get in runes and how strong it innately is right now. 12% of missing HP is alot, especially because it also procs on assists and kills alike. Also a problem is the fact Triumph indirectly counters ignite if the person ignited gets a kill because, more often than not, triumph heals enough for ignite to be worthless unless they do not get any kills or assists, which is a tall order if they're fed.
With the addition of tower plating and new bounty system, I honestly feel Triumph is due for a nerf to balance it with the rest of the game. Doesn't matter what Riot does to it, it's still infinitely more valuable than presence of mind and overheal by a pretty big margin. Presence of mind may be a bit good early and a bit of mid game but late game it's 100% useless due to cooldowns, mana pools or if they have manaflow band. Triumph is good in all areas of the game and in all team comps. Overheal does require the champ to be lifesteal heavy or has Soraka or Sona as support, otherwise its usefulness is marginal.
So I think it'd be fair to remove the gold you get from kills or assists. There's too much gold generation from tower platings and klepto's current state to warrant its existence in Triumph.
Additionally, nerf Triumph's heal to 10% of current HP with an addition that 10% only applies to kills, assists get you 5%. This rewards getting solo kills and carrying a game, while still making it a viable rune for bruisers like Irelia, Riven, Olaf, Kled ect.
Another addition is the heal is applied over 5 seconds (remove the travel time and apply heal immediately). This makes it both valuable in extended team fights and laning phases while not having it hard negate ignite's power by existing. Additionally Ignite debuff to healing should apply to triumph reducing its effective healing by 40% only during the time Triumph heal is ticking over the previously noted 5 seconds. This means say in a fight you get ignited, then 2 seconds later you kill them.
This means that for the 5 seconds you are being healed by Triumph you lose 40% of the healing you get from Triumph for the first 3 seconds of its proc. This increases the chance of ignite killing them instead of being restricted to praying ignite kills them before triumph heal catches up.
Thoughts? It's not perfect but I think this would address several of the issues I have with triumph in its current state without gutting it into the ground.