I don't really understand the point being made, however I am not going to labour semantics
Semantics is the study of meaning, and there's certainly often discussions of meaning when it comes to particular clauses, wording and terms. But here, it's not at all a matter of semantics, but of being accurate.
The 2 key points:
1. The terms 'Stage 1 Audit' and 'Documentation Audit' are
not synonymous. A Stage 1 Audit is the correct term.
As pointed out by others, a Stage 1 Audit involves more than simply auditing documentation. (If that's all it was, it could presumably be done offsite without having to go near the client site - I have seen the results of such a thing done like that on a few occasions and the results were neither pretty nor valuable).
2. The requirements for the certification process, including requirements for Stage 1 and Stage 2 Audits, are defined in ISO/IEC 17021:2006(E), which must be followed by Certification Bodies/Registrars.
If this sounds overly detailed, my apologies, but we're a quality forum. And we like to get things right and be accurate, when accuracy is required. When referring to exactly what's in which Standard, it is.

I cannot recall a thread which quite so frequently went offtopic as this one... wonder why? Perhaps it has something to do with what's often called the silly season?
