I say this as a long time heavy user of Little Snitch. It's very annoying when you first get it installed, but it provides really useful control over what installed software is getting up to. After a time you settle into a natural rule set for your personal patterns and only see alerts when new or updated software tries a network connection that hasn't been seen before.
"Mini" strikes me as much more of a fire-and-forget product, which I appreciate but won't personally use.