There is actually a table in the appendix (table A.1) that shows the relationship between 80001-1 and 14971 because this was a brought up in the commenting period (it was started in one of the TRs but moved to the main document). Additionally, in the main body there are clear references made to 14971 where verbage was 'cut and pasted' or modified for 80001-1. So yes, there is a strong corollary between the two standards.
The standard is available (AAMI has good price for members). As pointed out, the TRs are in process (comment period).