Oh, thank you for your answers!
Still, my software would be probably licensed under GPL, so anyone would have a mechanism for relinking Qt or any other library, the source code itself. The problem is that the download page actually contradicts Qt's GPL license when talking about open source GPL'd and LGPL'd projects, what is actually the only case given that these are the only possible licenses for projects using the Community License.
I will just use it and ignore that, apparently misinformative, char on the download page.