/assist has an inherent delay, because when you target something, your client has to tell the server that you targeted something. The server then has to tell the other players that you changed targets. Until your other clients have received the message that you changed targets, they will still pick up your old target.
Diagram:
There's really only one way to improve the behavior, and that is to have a lower ping. Otherwise, you want to either a) pull auto-assist out of your keys, or b) purposefully wait about half a second (or at LEAST the amount of time described by your ping) after targeting, before doing something where you MUST NOT have the old target.
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