I still can't figure out how damage boosting effects work with McCree's ult

I've played the game for so long now, but every time I have a Mercy amping my damage or a Discord orb on an enemy, I keep forgetting to make mental notes of how long it takes to lock in on them because I'm always "in the moment." So, does anyone know if McCree's ult locks onto targets more quickly if his damage is boosted/if enemy is debuffed to take more damage? I ask because I know that his ult's charge time is based off of the enemy's health, so it made me wonder if that is able to be affected in any way.
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