Check & Training Positions - query

[Nikai]

Hi All,

I've searched previous threads but haven't really found any consensus on the following - so wondering if anyone can help? I've seen a range of titles for aircraft (vs. sim) check and training roles and am trying to understand how they fit together, bearing in mind that different countries use different terminology, am I on the right track?

TRE: Type Rating Examiner - conducts flight checks (FCC/renewals etc) on A/C type. Terminology used in EU, Asia, Africa etc?

TRI: Type Rating Instructor - can conduct line training but not checks
Terminology used in EU, Asia, Africa etc?

Check Airman - can conduct training & flight checks i.e. holds both TRE & TRI privileges. Terminology used in USA

Training Captain - conducts line training once a pilot is type rated. Terminology used in Oceania.

Designated Examiner (??) - same as Flight Examiner? Where is this terminology used?

Flight Examiner - conducts flight checks (FCC & renewals etc) on A/C type. Terminology used in Oceania.

So based on what I've read so far I was leaning towards the following logic:

Check Airman = TRE = Designated Examiner = Flight Examiner
TRI = Training Captain

Any advice , critique or otherwise would be greatly appreciated!!