New Innervate Support Question

"Innervate Support has been reworked. It now grants 20% chance to shock at all levels (up from 15). At level 1 of the gem, it grants 1-25 added Lightning damage to supported skills, up to 11-218 added Lightning damage at level 20, and grants Innervation for 4 seconds on slaying a shocked enemy with a supported skill. At level 1, the Innervation buff grants 1 to 17 added Lightning damage for 4 seconds, up to 8-145 added Lightning damage at level 20. Innervate now has a 130% Mana Cost multiplier."

So does the supported skill have to get the killing blow to grant the innervation buff?

Example, if I link innervation to orb of storms, but I slay the shocked enemy with storm-burst, will i get the innervation buff?

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Example, if I link innervation to orb of storms, but I slay the shocked enemy with storm-burst, will i get the innervation buff?

nope

to get on-kill effect granted by support gem, you have to kill with a skill linked to that support gem. obviously, Id say