Is Azure Role Local Storage guaranteed to be inaccessible to an application that is adjacent to the same host?

Suppose my Azure role stores files on a local local file system and forgets to delete them. Can another application using this host in the future access these files?

I read a white paper and filled out marketing style statements, but I can’t find a definitive statement about how thoroughly the host machine is “cleaned” before a new role is launched on it.

Can I make sure that another application does not see the changes that my application makes to the file system?