Does your module maybe have a built-in VRM? The datasheet said the operating voltage range was 2.5-3.6V. A LiPo battery has a nominal voltage of 3.7V and a fully-charged voltage closer to 4.2V. That's definitely out of spec without a VRM.
I absolutely believe it works for you, but I wouldn't ship that to customers, and I wouldn't expect what is ostensibly an authoritative reference tool to recommend it at all.
