Is there a word for constructions that involve intentional false language, with corrections in parentheses?

I realize that the title may not be entirely clear, so here's an example of what I mean:

I yelled at (sent a politely worded email to) tech support about their utterly broken (mildly annoying) system.

I've seen constructions like this before employed for comic effect (for example, I believe the Valve Corporation has used this on the TF2 Blog, although I can't find the example right now). It seems related to the satirical use of "read:", as in:

The CIA engaged in enhanced interrogation techniques (read: torture) to get information from suspects.

However, I have never seen this device be given a name. Is there one?

Solution 1:

In theater this would be an "aside": a convention where a character on stage makes a comment to the audience, that the other characters on stage cannot hear. It is meant to reveal the character's true thoughts.

An aside is addressed to the audience, but is only a mild form of breaking the fourth wall unless the audience is explicitly acknowledged. In film this is usually done with a voice-over, so the other characters who are present do not have to ignore it through the convention of the aside.

• aside (n)
  1. an utterance not meant to be heard by someone
     (theatre) an actor's speech heard by the audience but supposedly not by other characters

If the character makes these parenthetical comments continually throughout the story, it is a form of inner monologue.

See also thinking out loud, aside comment, aside glance

Solution 2:

Is there a word for constructions that involve intentional false language, with corrections in parentheses?

No. Probably because these are two, independent ideas.

A word or phrase "that involve intentionally false language, is either a euphemism (a less controversial term) or a circumlocution (an involved equivalent).

A "correction in parenthesis" is exactly that.

To bring the ideas together, you need a main clause and a modifier of some sort, e.g. "A euphemism with its clarification"