Can I hide the points earned and points spent captions in the checkout totals for a website?
Yes you can. For any checkout that is not earning points or spending points, you can remove the totals blocks when the amount is zero through an option in the MageRewards Rewards -> Configuration section. You can also change this on a per-store level. In order to avoid allowing customers to earn points without showing them, these amounts will always show if the customer somehow still manages to earn/spend points. If your store rule setup is configured correctly and the earned/spent amounts are always zero however, you will see the desired effect of it never showing the earned: 0 or spent: 0 captions.