The problem with labels is they are a discrete system being used to describe a continuous process.
For myself I self-identify as TG. The full TG definition really paints with a very broad brush and properly includes most CD but not post-op TS. It is simply one who chooses to wear or adopt clothing or mannerisms of the opposite gender... short of surgery to change gender. My wife and I have had "discussions" regarding my self-identification because she sometimes uses points on the spectrum close to, or inside of, the TS-spectrum. I try to tell her she is entitled to her own opinions but not her own definitions and data.
Arguing over the differences is something the psychology field has been doing almost forever, and even the professionals keep changing their definitions; RE the new DSM version. Most of the discussion is a good exercise in philosophy but it may not provide much clarity. Getting dogmatic about differences is certainly counterproductive.
Let's just all get along and respect each other,
Sandra1746