First off it looks like it signs you up to spam mailing list, so be-careful of that.
I’ve had a quick look at the code. It doesn’t look like it sends any personal information to them. Although there are some things in the code that seem a bit odd.
It looks like it writes out a debug log to wp-content/post-schedule-ping-optimizer.log, I’m not sure of the contents but you should check that before using it.
Also it looks like you need to setup a real cron for the pinging to occur. So you’d need to have access to do this on your server.
I personally don’t use WordPress (not for the reasons stated on that spammy site), but if I did, I wouldn’t use that plugin.