Yes you are correct there. Especially if you are using a custom launcher such as Nova, you can even restore your your home screen layout.
Technically you could restore system data with Titanium Backup but it's not recommended and will likely cause errors, especially on a new device. But if you only have to manually restore settings, it's not so bad.
Also, with a custom recovery, you can do full image backup/restore but I would probably avoid doing that on a new device. It's great for your same device, to restore a backup or if you got a replacement device, you could essentially clone it by restoring to the new device. But changing to a different device altogether, I would only restore the things you mentioned in your previous post.