Dear Lukas,
I tried on all the mobile phones we have in our office. I have, for example, an iPhone SE with iOS 16.5.1.
I tried with Safari and with Google Chrome. I tried with data protection mode on and off.
In every case, it worked as it should.
As long as I have not device where I can reproduce your problem, I don’t know what to do.
Did you tried to restart your device?