I think it would be great to add this functionality for Synology. I've owned a Synology for several years and i can tell you that they continually improve their OS (DSM) and they are definitely gaining in popularity not just among business class users but among people like me - geekified home power users.
Anyway, thanks for the suggestion/recommendation and I think it's a great idea. :)
Is there something different about this integration than simply using a file based approach? I don't have a Synology Diskstation but is it not simply some kind of NAS? If so why can't you just use the native KeePass file based functionality with it?