At this stage of the open preview for the LBAPI service, Test Case Results aren't aggregated into the Lookback database for reasons of scalability. This is partially due to the detailed "snapshot" nature of Lookback intersecting with the typically very large volume of Test Case Results that are logged into Rally on a daily basis.
There's certainly the possibility that Test Case Results could be added to Lookback. From a user perspective, is there a tradeoff that could be made for how far back in time Lookback might go with TCR's, in order to include detailed snapshots? 90 Days? 120 Days? This feedback could be really helpful to inform the scaling decisions around this aspect of the API.