I have upgraded to 19.04 few weeks ago, I never asked to use desktop icons feature but after the upgrade, the icons appears.
It is disabled in gnome-tweaks: Trying to turn-on/turn-off does not change anything. Disabling the extension support does nothing either.
I tried via gsettings as
gsettings set org.gnome.shell.extensions.desktop-icons show-home false
It hides the icons for 1s, then reappears. Looks like it gets reactivated automatically.
I tried also to reset the settings through gnome-tweaks: no chance. Same for resetting gnome, no chance.
dconf reset -f /org/gnome
Funny enough, people complains about the opposite: icons disappeared after upgrade. Ubuntu 19.04 and Gnome desktop icons
note: "Hello board" <-- this part does not appear in the message despite edition. So, everyone: Hello :)