No matter the steel, IMHO the critical number is at the end of the chamber.
This is my scribbled upon chart from CIP (in mm), and you'll note, because the angle of the cone is sharper than the taper of the exterior of the barrel, the cone WT is usually the same or greater than the end of the chamber.
Otherwise I'm with JT

Also note Category 1 “Standard Steel” (Non-alloy AISI 1045) with tensile strength = 101,526-123,137 psi would fit the industry standards for 4140 Chrome Moly & 4340 Chrome Moly Nickel - both are “low alloy” steel. Vintage doubles may be AISI 1030 or 1035 with a tensile strength 85 - 90,000 psi, with Krupp and Winchester Nickel Steel, Poldi Antikorro, Böhler Antinit on higher grade guns, with a tensile strength of Category 1.
Pattern welded barrels average about 55,000 psi so I would favor greater MWT.

[Linked Image from photos.smugmug.com]

We have lots of measurements of believed to be original barrels in which the distal 1/3 is about .020". Don't worry, be happy smile