Sorry for the confusion. Yes, there is no inherent issue in those names not matching. When you first create a droplet the name you choose is used as the initial hostname but our systems do not have any real access to the internals of your droplet once it’s launched (aside from the specialized case of the password reset tool).

Some services may expect the hostname to resolve or may run into problems but this should only be an issue if the hostname (not the droplet name in the control panel) is a fully qualified domain or subdomain name. In other circumstances having them different should be fine. When you set a name for your droplet in the control panel our system looks to see if the name you used is a FQDN (fully qualified domain name) and if it is, it uses that name to populate a reverse DNS (PTR) record so lookups of your IP address will return that name.