In general I think chases are handled extremely poorly in RPGs. Even with the basic combat rules SWADE is one up on most other systems since the distance you can run is based on a dice roll but I like the chase rules personally. Similar to the Dramatic Task system the complications and range of choices available each turn make the game much more interesting in my opinion.
The tricky bit in some ways is starting the chase. Because few systems include them, my experience is that players assume any tactical scene is about combat rather than a potential chase. I have started being a bit meta about it and telling the players that we’re going to have a chase. Over time it will become more natural for the them to include the possibility in their assumptions of how the game might play out.