Leonard, I have pictures (out of old catalogues & books) of nearly every
horn made during the centuries, so I have seen these Sansone horns &
poorly made band horns a well. The main problems are that many makers
rely on questionable players as advisors and many makers are not able to
combine perfect functionality with esthetic design. Punctum ! Who are to
be blamed at first ? Players (professionals included) having a extreme
narrow view of the things. Punctum, the second time.

Back to the original question: why the shortest valve (1/2 step) in the
middle ?

As said before by myself: the full step was more important for two
reasons:

1st: it allowed the instant switch from F (the central tonality of the
horns, then "Lieblich pompoese Waldhoerner in F") to the tonality
E-flat, the main tonality of the horns in the orchestra at the time of
the transition from hand horn to valve-equipped horns. 
2nd: with the one full step valve (the horn in E-flat) one could play a
nearly full chromatic scale from f# below staff (plus the bottom C & Bb
- all written & read in F-Horn - up to g2 on top of the staff in nearly
equal quality & strength, involving the bell hand just minimally.

Bb, C - gb - g - a - bb - bnat - c1 - c# - d - eb - e - f - gb(f#) - g -
ab - a - bb1 - bnat - c2 - c# - d - eb2 - e - f - gb(f#) - g2

That is the main compass of the orchestral horn, while the solo goes up
more, pitches available anyway. Problematic the g#2 only, a pitch still
problematic on most modern doubles due to the involved valve combination
(23), as just 2nd valve is   rather flat.

A only 1/2 step valve would enable cleaner half steps, perhaps, but
leave some uncovered pitches.

I hope, this answers Simon Varnams original question.

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