Comment 14 for bug 1407522

Many years later, I can confirm the same problem still exists! Fresh install of Kubuntu 23.04 with the 14e4:4311 wireless chip, the KDE driver manager suggests installing bcmwl-kernel-source which does not work. Proper suggestion should be as above, firmware-b43-installer, which works perfectly.

Installing bcmwl-kernel-source does blacklist the b43 module which requires a little work to undo, so in my opinion having bcmwl suggested by the driver manager is worse than having no driver suggested at all. In my case, running:
cd /etc/modprobe.d/
sudo rm broadcom-sta-dkms.conf
was necessary to allow the b43 module to work, even after purging the bcmwl-kernel-source package.

This solution of installing firmware-b43-installer is known and broadly suggested across many forums, and seems to always work for this chip while bcmwl-kernel-source never works, so I would second the suggestion of the driver manager explicitly recommending firmware-b43-installer when it detects this wireless hardware.