This would seem to make it pointless, at least the cool down, since it would make it incredibly easy to wake scan and reach the person way before it would end?I don't think this is a good idea. We can already set a system on left panel and jump in a few secs.
However, if it does come to pass then the system you jump to should be RANDOM within your max jump range, fuel usage tripled and the FSD cool down on arrival should be ten times longer than normal.
You might end up somewhere worse.