Should Glacial x redemption x rylais interact with each other?

Was doing a ranked flex with friends, I was Ivern support with glacial augment & wondered about the interaction with Glacial, Rylais and redemption wondering if it could be a "global" glacial fiesta, the redemption x rylais proc worked like normal but glacial did not add that extra spice.
Should it work or should it not?

-Glacial Augment Slowing an enemy champion with an item active creates a 600-unit frozen line in their direction for 5 seconds, slowing by 60% all enemies within. The Freeze Ray can fire upon any number of champions concurrently, and has no cooldown.

Bonus interesting Ivern interaction below!

I've already scienced the ranged auto attack of Ivern x rylais x runaans hurricanes interaction and it works together. Although one would not normally use that build it's quite fun top lane with PTA for early cheese.

** (As Ivern you get bonus magic damage in the form of a ranged auto when in a bush! So it procs Rylai's Crystal Scepter!! With Runaans hurricane's multiple hit you can proc a ranged auto attack slow on multiple targets!) **