Microsoft has confirmed that the new Xbox One will prohibit all access to your games connected to your Xbox Live account IF you get banned from Xbox Live.
This recent confirmation comes from Microsoft’s own twitter account: @XboxSupport1.
This ban also ties into any accounts that might be sharing your games i.e. your sibling/family/friend will lose access to the game.
Whether this ban will completely block all the accounts on your Xbox One or solely the account in question is not yet clear.