Nomenclature of bryophytes was not fully covered by any taxonomic databases for decades. For instance, Catalogue of Life used a damp of TROPICOS data (MOST database) produced in 2004 (!) as the best available option. Fortunately, in late 2022 editors of Catalogue of Life changed a data supplier for both mosses and liverworths. They selected The Bryophyte Nomenclator which was unknown to me. That’s clearly a huge step forward, since it covers all families worldwide.
As soon as it happened we automatically checked and linked all bryophyte names in our digital herbarium (https://doi.org/10.15468/cpnhcc) using CoL api. There were only one ot two occasional omissions of infrataxa. Step by step they are indexing molecular revisions and implementing new names and combinations in the global perspective.
So, it’s really the best option for bryophytes at the moment. I think, that iNat should use their nomenclature as a taxonomic backbone for hornworts, mosses and liverworts.