What exactly do you miss on the status data inside the inventory?
To your second question - if you want extra information inside the inventory tree then you have to write your own inventory plugins.
Very basic example https://github.com/Yogibaer75/Check_MK-Things/blob/master/datasource-programms/agent_ilo/inventory/ilo_firmware
Complex plugin https://thl-cmk.hopto.org/gitlab/checkmk/cisco/wlc/inv_cisco_wlc_clients/-/blob/master/inventory/snmp_cisco_wlc_clients
You see there are a wide range of inventory plugins but every plugin only adds data to the inventory tree for the host.