I believe Jenkins template doesn't support nested jobs. We use folders, sometimes folders in folders etc. to organize jobs properly but out of box template configuration doesn't seem to support changing depth of the jobs discovery.

It's possible to request Jenkins API to return more data with eg. depth parameter:

This might be achievable through manual editing of course, but future updates from official Zabbix sources might make this custom changes really bothering to maintain.

Would  be nice to have depth option configurable at host level.