I click on the star to favorite in Twitter and it will remain in favorites. BUT I can also see it in my diigo bookmarks under the tags: lpsconnects (because it has a hashtag in the Tweet) AND as tweet (because I set that tag up when making the connection):
Are you ready to try it out?
If you prefer Written Instructions, you can the link from diigo Tools. If you prefer Video Instructions, I have screencasted instructions on how to make the connection.
Is there a downside to connecting? Not that I have found, but keep in mind, if you have a FREE account, you can only save about 20 tweets a day ... but then again, who favorites over 20 a day? Sometimes you just have to let a few things go.