Alot of cait's damage is by proccing traps in a teamfight. You wouldn't be able to place traps in any fight, because you wouldn't be able to auto for 1 second while placing it. Placing it down wouldn't be worth the time in that case. You also wouldn't want to get in range to place down a good trap.
1 second is also pretty long for a cast time, she would easily get CC'd and killled in lane if she tries to throw one down. I would just flash on her instantly as something like

Traps get reduced to just placing them down for objective control, she loses a core part of her kit.
Caitlyn is great at seiging and defending turrets becaue of her traps, this gets weakened alot by lowering the range and making her unable to move. You just wont be able to seige properly without risking dying.