From mmory there were some different sizes of smaller Ilfospeed processors, aimed more at the high end amateur/small professional market these replaced the Ilfoprint machine, I don't think they were sucessfull and only around avery short time. other companies also made small RT processors for RC paper. A UK importer and distributor John Blishen sold a VC-1614-VS a lcompact low price versatile processor, and in their 1982 BJP Annual advert say other sizes available.
The original Ilford liquid rapid fixer is Hypam itroduced in the 1950's, and it was buffered to use an optional hardener. It's likely that the Ilfospeed fixer became Ilford Rapid Fixer, Simon Galley stated that the only difference between Hypam and Ilford Rapid Fixer was the latter had reduced levels of buffering, making it cheaper to produce. To use a hardener you need a fixer with a high level of buffering as even a slight drop in pH has significan effect on the hardener efficiency.
Ian