I'm a business guy that has a lot of meetings. Why would I use this and not Outlook?
In short, Outlook is great for keeping track of fixed events and appointments, and Timeslot would be great for planning the things you need to do in a given day, hour by hour.
This looks like an inferior web based edition of Exchange/Outlook functionality. It was a serious question - is there an advantage to using this? If not, you might need to do some market research to better target the problem you are trying to solve.
I think the examples are pointing in a different direction, i.e. a simple and straightforward tool to help you juggle daily life with a focus on spontaneously rearranging tasks, rather than fixed business meetings and scheduling events for teams even.