Context
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Putting a teleconverter on a full frame lens magnifies the center of the lens but gives more reach due to that with some [drawbacks](https://photo.stackexchange.com/questions/29890). I've rediscovered focal reducers that do the opposite, collect the light into a smaller image circle for a smaller sensor.

Question
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In terms of image quality, does a full frame with a teleconverter (1.4x to be fair) overall perform better than an aps-c without a teleconverter? Or, the related comparison: is a full frame with a teleprime better than an APS-C body with a focal reducer in between.

To make this fair, assume that the bodies are of the same generation.

Reference
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* [Should I get a tele-converter or a camera body with more megapixels and crop?](https://photo.stackexchange.com/questions/41784)
* [How does a teleconverter affect depth of field?](https://photo.stackexchange.com/questions/4928)
* [Will there be any difference in photos taken using full frame and crop lenses on a crop camera?](https://photo.stackexchange.com/questions/46953)