This extension does not collect or upload your data. It has no home server or analytics. The only network connections are for download tasks.
If the "enable specific behaviors for certain websites" option is enabled, the extension may request the description page from the same website of the download (e.g. https://drive.google.com/file/d/.../view for Google Drive files), to get the file name, size, or other metadata.
The extension stores only necessary data to function correctly, and they are only stored locally. For example, when you use the extension to download files, the URL, filename and the partially downloaded file are stored locally so that it is possible to perform the download. These data are not uploaded. After you remove the task these data will be removed.
The extension does not make it apparent to websites that it is installed. If you find websites can detect this extension's installation, please report the issue.