LinkFixer Advanced does not collect any sort of user-data. Only diagnostic data (specific process run, how long the process took, process start and end time) is stored in AWS. 

All AWS or any outgoing ports for that matter can be blocked, without any detrimental effect to how LinkFixer Advanced works. LinkFixer Advanced can also be installed on a server that isn't connected to the internet, as there is still a way to license the application offline.

Related: Offline licensing