This is wrong. There's a misconception that you can't statically link your app when using the open-source LGPL version of Qt. From my reading of the LGPL license this doesn't appear to be the case[1]. The LGPL allows you to statically link your app as long as you provide the object files and allow users to relink your app with a different version of Qt.
I've observed many people spreading this misinformation about only being able to dynamically link with the LGPL version of Qt. Please stop this.
[1] https://www.gnu.org/licenses/gpl-faq.html#LGPLStaticVsDynami...