Aesthetically, I fully agree that it doesn't matter what labels are placed on all this other than subjective things like "good sounding" and "believable or not" with regards to the end result. Music recording and playback is all about the creation of an illusion anyway. However, from a technical perspective (this is something of a technical recording forum after all) what you describe above is two ambisonic recordings, the first decoded to two channel stereo, the second decoded to single channel mono, which are then mixed together in two-channel stereo non-ambisonically. The end result is a two-channel stereo recording.
The distinction is important in differentiating what techniques are used and how to go about manipulating things, rather than describing the quality of the result perceived by a listener. It's an important one in a technical discussion of how the equipment is used and the recordings are made.
Nothing stops us from using all these tools creatively. I've made numerous recordings using a stereo decode from the TetraMic plus a spaced pair of omnis. The resulting recoding is 2-channel stereo and not ambisonic. Part of it was made ambisonically, part of it made as A-B spaced omnis stereo. The ambisonic portion left the ambisonic domain when I chose one particular stereo decode of it.
I could describe alternate mixing options for your two ambisonic microphone scenario, done within the ambisonic domain without first decoding from B-format, which would be an entirely different procedure and have very different sonic implications. Unless played back over an ambisonic loudspeaker array, the resulting output would most likely be decoded to stereo, multi-channel, binaural, or whatever for listening and would at that point no longer be ambisonic. These are important distinctions to make on a recording forum describing how the tools are used, which aren't important at all from the perspective of the listener.