Changing the enable password from the WebUI will not reset the configuration. As always, it is a good idea to create a backup of the configuration (under Maintenance, Copy Logs; and/or Backup flash).
If you gained access again, and have access to the CLI, you can configure 'enable bypass' to skip the enable prompt for future logins and get into full access mode immediately after login.
If you have access to the physical serial console, you can use the password recovery (login as password/forgetme!) to reset the admin and enable password. That looks even more controlled than running the wizard again; but both methods should work.