See step 3 in this description:
https://docs.qfield.org/get-started/tutorials/get-started-qfc/#project-creation-and-configuration
It states:
Project files will only be uploaded when you click the synchronize button. Make sure the selected contains no more than one QGIS project file.
This is not true.
I used the option "Convert currently open project to cloud project" , it then showed to progress bars and it immediately synchronized the project and QGIS gave me this message:
Is this a setting? Has the process changed?
This happened to me with QGIS 3.40.12 on Windows and QField Sync plugin version 4.17.3