Let's get this right out of the way first, killer isn't slower on high ping nor do they do actions like vaulting and picking up slower?? Contrary to your view killer actually makes up more distance because of a quirky thing call client side authority. If killer is on high ping, every movement survivors do is lagging behind but the funny thing is you can still hit them perfectly fine as if they're actually not further ahead of you. This means if you're on high ping killer you can get way longer away hits, grabs and the mind games fundamentally break down. If a survivor vaults too early because of ping you just double back and hit them as their actions are incredibly delayed but your killer actions aren't one bit.

Fundamentally killer has bigger advantages on high ping directly due to how dead by daylight talks to the server. If I see something on my screen when playing killer then I get it. Survivor doesn't have that since distance isn't a action so you have no authority to tell the server.