Apollo does not upload your scans.
Images, metadata, and results are processed on your own computer, and exports are saved where you choose. There is no account, and license keys are checked without a network connection.
Apollo does need an internet connection to install a model and to download its weights the first time it runs. TotalSegmentator, which several analyses use, also reports each run to its authors by default, with details such as the task, platform, software versions, and a random installation ID, but nothing from the scan.