Double Smite..... Really?!
Why is double smite needed? Yeah I understand that if you use smite in a team fight you might not have it to secure an objective, but that's kind of the point... If I use my smite to secure a kill I might not be able to secure dragon and vice versa. With the single smite you really have to analyze the situation to determine when is the best time to use your smite, but now with two smite you'll be able to easily secure a kill and dragon, baron, etc.
You say you want more diversity and you want people to focus on the objective but now your making it so the jungler can help win a team fight and then immediately secure a camp. That doesn't bring in any diversity because you no longer have to decide when it's a good time to smite, and it doesn't really set a focus on objectives (or it sets too much of a focus) because you can help win a team fight, take a tower, and then immediately secure a camp.
A 50% slow for 2 seconds can really determine how a gank goes. Let's say the jungler flies into a lane smites the opponent (with chilling smite) and with one smite the opponent could get away depending on how they play it and be fine. Odds are that they wouldn't have much health and now with 2 smites the jungler just needs to circle back around wait a few seconds, slow the opponent by 50% for 2 seconds and secure the kill. Did I mention it's a 50% slow? If you have 350 movement speed this would drop you down to 175 movement speed for 2 seconds!
They tried to keep people from easily taking early dragons, but now you just need to lead off with smite (at early levels it could take a while for you to get the dragon in smite to kill range) and now that you have a second smite 15 seconds later (assuming you have both stacks) you can secure dragon.
I know chilling smite is being nerfed now.