As you know Joe, Sears catalog No. 117 of 1908 listed the No. 18 double and the single barrel No. 424 A.J. Aubrey guns with “Genuine Armory Steel” AND “Genuine Crystal Barrels”. Catalog No. 124 of 1912 listed the No. 18 double with “Decarbonized Steel”.
The c. 1910 single barrel METL tested for me had (Bessemer) Decarbonized Rephosphorized Carbon Steel (no AISI equivalent but similar to AISI 1211) with a Tensile Strength of 71,500 psi. That is actually better than the industrial standard for AISI 1020 at 61,000 psi ("hot rolled" bar).
For comparison -
Bessemer or Decarbonized Steel: Henry Bessemer initially claimed a tensile strength of 40 tons/89,600 psi but published numbers range from 55,000 to 70,000 psi, with an average of 63,000 psi. The higher number likely represents “cold rolled steel”.
Whitworth's Fluid Compressed Steel: 66,000 - 67,200 psi
Marlin Model 1898 Slide Action Shotgun “Special (Cold) Rolled Steel”: 66,000 psi
Winchester Standard Ordnance (Bessemer) “Rolled” Steel: 69,400 psi
Krupp (Open Hearth): 70,000 - 80,000 psi
Krupp Fluss Stahl (Homogeneous Fluid Steel) introduced about 1890: No published data but by composition it is similar to AISI 1045 with a tensile strength of 85,000 psi
AISI 1140 Resulfurized Carbon Steel: 79,000 - 85,000 psi
AISI 1040 Carbon Steel: 76,000 - 90,000
AISI 4140 Cr/Moly: 95,000-100,000
Please note that Carbon Steels may be heat treated to much higher strength, which I believe the action forgings of 1020 (at least Hunter Arms') were.