Subject to abuse? You didn't list one thing?
Nope I didn't as I saw previous posters had discussed this.
That sounds complicated... And, if you're having to fly 2-4 systems for each one your target is... Who's going to bother?
Sorry didn't realise this was just an "I win" button you wanted to introduce ;-) , you have to consider both sides of the interaction.
A wants to run away and B wants to catch them. If A has invested in long jump range this should give them an advantage? But if B is tenacious they should be rewarded with an opportunity to demonstrate to A that investing in a ship with lots of large weapons and a low jump range is a viable alternative.
Your effects you discuss are purely a minor penalty to B, how many people are inconvenienced by FSD damage from neutron stars/white dwarfs FSD charging in the bubble, there is a maintenance option at most star ports and the cost is minimal.
If you are chasing a quarry, be it NPC or Player, then the Wake Scanner gives you the information that you need to know where they are.. The issue is that A could jump and jump again, so your trail goes cold automatically. Adding an in game timer means that there is a hook to give the pursuing B player an opportunity to pull out the stops, forgo scooping, or jump whilst scooping to get to A's destination. This means that B has some decisions and associated consequence to catch up with A.
Initially A has no idea that B is chasing them via Wake Scanner so might not jump again, but if this is a follow up encounter they will then be wanting to do something that will discombobulate B.
A could start buckyballing around at max range to hopefully evade B. Or call up his chums arrange a system and have a welcome party waiting for B.
In the mean time B will be tracking A, trying to get to each destination before timer expires, maybe getting his chums to wing up and join him, and then hopefully catch up with A and offer a free demonstration of B's range of discipline.
Your suggestions smacks of "I cant be bothered to chase and outfox my target" rather than adding a level of excitement and intrigue to such a cat and mouse opportunity for both sides.
Also why isn't this in the suggestions part of the forum?