Only check VM power state, no ping needed

Yes, stuff like this happens, if you work without partner or coworkers, you can ask.
I work with the Linuxfabrik but you can find a list of partners here: https://icinga.com/company/partners/
Or get support directly from the Icinga GmbH.

But back on topic - the previews from the director of how I solved it:

zones.d/director-global/servicesets.conf
/**
 * Service Set: 116 vSphereDB VM
 * 
 * assign where host.vars.custom_values.icinga_director_teams || "vspheredb-vm" in host.vars.custom_tags
 */

apply Service "Icingacli vSphereDB - VM Status" {
    import "116-tpl-service-vspheredb-vm"

    assign where host.vars.custom_values.icinga_director_teams || "vspheredb-vm" in host.vars.custom_tags

    import DirectorOverrideTemplate
}

if you wonder about host.vars.custom_values.icinga_director_teams, It gets created in the Director automation from the vSphereDB module import source. The goal is to no longer have to manage this kind of information by hand in Icinga.

zones.d/director-global/service_templates.conf
template Service "116-tpl-service-vspheredb-vm" {
    import "tpl-service-generic"

    check_command = "116-cmd-check-icingacli-vspheredb"
    max_check_attempts = "3"
    check_interval = 1m
    retry_interval = 15s
    command_endpoint = null
    vars["116_check_icingacli_vspheredb_name"] = "$host.name$"
    vars["116_check_icingacli_vspheredb_type"] = "vm"
}
zones.d/director-global/commands.conf
object CheckCommand "116-cmd-check-icingacli-vspheredb" {
    import "plugin-check-command"
    command = [ "/usr/bin/icingacli", "vspheredb", "check" ]
    arguments += {
        "--name" = {
            description = "name of object to check - only needed if check_type is singular"
            order = 1
            required = false
            value = "$116_check_icingacli_vspheredb_name$"
        }
        check_type = {
            description = "Type of check to perform"
            order = 0
            required = true
            skip_key = true
            value = "$116_check_icingacli_vspheredb_type$"
        }
    }
}

Screenshots of the command configuration in the Director: