Just an FYI if you’re not familiar with American screw sizes, calling this a 10-32 equivalent is probably going to confuse come people.
The naming convention used for screws in America includes the shank diameter and the pitch of the thread in threads per inch (TPI)
So a 10-32 in a #10 diameter screw with 32 threads per inch
Below about ¼ inch diameter, the American system usually uses that numbered system, a #10 screw is .190 inches or roughly 3/16
For larger diameter screws they usually just use the nearest fractional equivalent instead of the screw number, so a ¼-20 is roughly ¼ inch (actually .242in/ or #14) diameter and has 20 TPI
Most sizes have a standard coarse and fine thread, for #10 32TPI is the fine thread, and 20TPI is the coarse thread
Little back-of-the-envelope math that I’m not super confident in, this would be something like a 10-16 screw. You might want to rename it or add a note to that effect, or maybe call it something like a #10 extra coarse thread.
I’m not sure if the wire gauge thing is right, unless you’re talking about a different system than I’m familiar with, because with wire gauge smaller number=bigger wire, and with screw sizes smaller number=smaller screw
Also just my 2¢ on “machine screw” vs “bolt” as a casual tinkerer with various things held together by different types of threaded fasteners.
Generally speaking if it’s got a hex head or nut that I’m using a wrench to tighten, it’s a bolt
If it’s got some sort of hole (or God forbid a slot) that I’m going to use some sort of a driver (for the purposes of this, an Allen “wrench” is a driver) to tighten, it’s a screw.
And of course everything gets really murky when we start talking about things like sheet metal screws, lag bolts/screws, masonry screws, etc.