Populating domain information in fact relationship vs cost table

Apologies for reviving the old thread, but this situation with domain fields is still confusing. In fact, it became even more confusing because concept_id’s for domains (like 19 ‘Condition’) have become non-standard. Does this mean they cannot be used in Fact_Relationship anymore? Should the CDM metadata concepts for tables (like 1147333 ‘condition_occurrence’) be used instead?

Also, just to be sure: cost_domain_id field in v5.3 should be populated with string domain names, like ‘Condition’, — correct?