Cannot automate with cron the changing of the configuration with dconf on Debian (it worked on Ubuntu)?

This script worked in adjusting the background color and the font color in gnome-terminal when run from cron on Ubuntu 22.04 LTS.

#!/bin/bash

detect_dstr() {
  distribution=$(grep -E '^ID=' /etc/os-release | awk -v FS='=' '{print $2}')
    
    if [ "$distribution" == "debian" ]; then
        echo "debian"
    elif [ "$distribution" == "ubuntu" ]; then
        echo "ubuntu."
    else
        echo "unknown"
    fi 
}

chng_t_drk() {
    dconf write /org/gnome/terminal/legacy/profiles:/:b1dcc9dd-5262-4d8d-a863-c897e6d979b9/background-color "'#000000'"
    dconf write /org/gnome/terminal/legacy/profiles:/:b1dcc9dd-5262-4d8d-a863-c897e6d979b9/foreground-color "'#ffffff'"
}
chng_t_lght() {

}

h=$(date +%-H) 
if [[ "$h" -gt 16 ]]; then chng_t_drk
elif [[ "$h" -gt 4 &&  "$h" -lt 16 ]]; then chng_t_lght; fi
unset h

I am now on a Debian-stable-based distribution that utilizes sysvinit and this script no longer works from cron. The theme changes when I manually execute it, though. Even specifying the display does not help: */10 * * * * DISPLAY=:0 ~/gnome-terminal/change-theme.sh I checked with dconf-editor and the ID is the same on Ubuntu 22.04, Debian Testing(trixie) and on Antix (based on Debian Stable). Why is it then that I cannot automate of changing the configuration on the latter two distros?