My fastest is 27seconds on the NOTE.

Unlocked, Swiped right.
Hit Widget to start track playing music.
Swiped the widget to scroll through emails, clicked on one (went fullscreen).
Swiped right again on Calender, swiped it for next month to see the 17th.
Hit the camera button took a picture.
Uploaded it f directly.
Hit Home and finished

I guess I can do it even faster if I set it up a little more effeciently.
The only problem is, I don't use Twitter and don't save events (though Calendar is useful)...so this test scenario is really not indicative of your smartphone's performance...at least for not many people.

Eg. I don't have a music widget, I play tracks off the Lockscreen (MIUI lockscreen).