Starting with a little background: I have a home server with Windows Home Server 2011 installed. I make backups of the data stored on my home client computers to the home server using WHS' built in backup functionality. The actual server data (some of the shares and the client backups) are backed up to an online backup service.
Now to the actual question: if my home server would crash, be destroyed in a house fire, etc. and I would reinstall it (possibly on different hardware), would I be able to use the client backup files restored from my online backup to restore a client computer or are the client backups somehow tied to the actual installion of WHS that made them?
EDIT: I'm using Carbonite, so there is no WHS add-in available. EDIT2: Changed the phrasing to make the question clearer.