This just makes no sense whatsoever. You can just step over dropped curbs like you can step over normal curbs?
Even if this is not the case for some weird reason - don't you agree that making the world a little bit more accessible for people who have a really hard time getting around is worth making the world just a tiny little bit less accessible for you - the person who can litterally run around?
If you have a considerable problem with tripping often though, maybe look at how you do running.