Touch of Hyperborea from the Champion is not an aggro reset. It just kicks down current aggroholder (3 places iirc but might be related to number of defensive tanks). I don't think you need to rely on goad here.
I think Kyllikki has a few errors (apart from the obvious one where you don't kill adds but chose to ignore the main mechanic of the fight).
I think 'winter madness' is triggered when Kyllikki attacks someone without the 'northern cross' buff. It is safe to dps her from distance even without the buff.
There is no need to remove the 'time fades away' as long as the tank uses cunning deflection (optionally doubled up with hex marked soul or strike and guard) to mitigate most of the hit in the end. Before last changes to the fight the timer on 'time fades away was shorter and all 3 of them would explode so goading and removing it wasn't really an option.
Killing or kiting adds is a choice you will have to make for yourself since Funcom might fix it at some point in the distant future like they did with Louhi. If you want to enjoy the fight here are 3 videos of how you can deal with the adds the proper way:
Bosstank perspective: https://youtu.be/idx3JteoM5M (you can see they mitigate most of the 'time fades away' damage)
Addtank perspective: https://youtu.be/8NNFLQoqm3Y
Dps perspective: https://youtu.be/4JKBNMYM7cw
personally I think this strat is much more fun and challenging, most likely the way it was intended and actually very doable.
Edit: just found vid of alternative kiting strat on Yakhmar. https://youtu.be/wmLTZ3u8i3U