It is not Hoaxophone, nor Hocksophone, nor Hoxophone - that is an arbitrarily made-up word, and incorrectly at that.
A short discourse in etymology:
The definition of "Hox" from Dictionary.com is hox
\Hox\, v. t. [See Hock. [root]??.] To hock; to hamstring. See Hock. [Obs.]
and "Phone" has many meanings, all related to the Greek root, which means "Sound".
Clearly, the arranger keyboards have nothing to do with hamstringing the performer; if anything, they promote creativity and assist in live performance, without having to wait for the band members to show up and practice their chops.
Also, most arranger keyboards today do not have speakers; hence, they produce NO SOUND, and calling them anything-PHONE is incorrect.
Whatever you may want to call an arranger keyboard, a "Hoxophone" it is not, at least not in English language.
Regards
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Regards,
Alex