The "non-tech" people (ie find FTP difficult) I know personally that have used Weebly tell me they like it because they found it's very easy to put a site together and manage it.
Most aren't "in love" with the program, but they found it easy to get their website put together and running, and figure that if they're looking for their next step they'll just hire someone to build it.
The line I get from most people are along the lines of "it was just... easy... and it worked..."