Resolution
It is possible, as soon as new templates are installed by vzup2date on hardware node you also need to synchronize templates for this Virtuozzo hardware node in HSPcomplete system using Update Synchronization State and Register OS Templates From Node buttons on Top > Service Director > Virtuozzo Manager > Nodes > Node name > OS templates screen for OS templates and corresponding buttons for Application templates on
Top > Service Director > Virtuozzo Manager > Nodes > Node name > Application templates screen, and if you have number of Virtuozzo nodes you need to repeat synchronization process for every Virtuozzo node.
Another, more simple and more convenient way is to upload all new Virtuozzo templates into HSPcomplete system and update Virtuozzo templates using HSPcomplete web interface or command line tools. It will take care about all Virtuozzo hardware nodes.