FY 07-08 production at Frankford, Part II, Class IV, Section 5 lists a "Body Gauge" for the 1906 cartridges.  They made one:

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Note the "price" was $4.90 but we'll get to that.

FY 08-09, same section, doesn't list any:

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Pamphlet 1879, Price list of Ordnance Stores, dated 1914, page 69, lists the body gauges for 1898 and 1906 cartridges at $2.35.  They're absent from the 1917 edition (which will eventually become a wallpaper panel....).

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Body gauge for the 1898 cartridge.

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Made at Frankford in 1908.  It doesn't show up in their production reports.   :-?

Interesting mystery.