Lets try it this way, one word at a time as far as TG -TS go.
TRANS:
“across,” “beyond,” “through,” “changing thoroughly,”
GENDER:
refers to the socially constructed roles, behaviors, activities, and attributes that a given society considers appropriate for men and women.
SEXual:
refers to the biological and physiological characteristics that define men and women.
So TG is one who has the wrong body for the gender inferred, displayed or presented, and TS is one who has had SRS or wutever physical changes so the body and the gender match. I so totally can't understand why a CD, TV or any of many other acronyms are confused. I think under most true TG/TS situations, one doesn't like change back n forth. Just 'cuz someone wants an "umbrella" to go under doesn't make it all encompassing. Just my 2 cents.