One of the more readily available (in my area) manufacturers of fasteners that I stock my truck with is
Metallics Inc. Their
downloadable Section A of their catalog is headed "screws".
The reason I point you to this, is they, Metallics, show the lowly round head 1/4-20 combo (Phillips/slotted) as a "screws".
BUT when sold in a kit, SEE pages A52 & A53, an interesting thing happens. Sold with 6-32, 8-32 & 10-32 without nuts or washers, the 1/4-20 is a "machine screw".
The same 1/4-20 on page A53 in a kit with nuts and washers becomes a stove bolt. Go figure.
I think this focus on what to call the threaded part of a ground clamp is missing the point Stew made back in post #11. Marky asked for a link to the UL Certifications Directory information:
KDER.E195975
Go down the page to the two entries titled:
Bronze ground pipe clamps for bare wire The quote Stew gave is right there. Those model numbers of Raco water pipe ground clamps are OK for use with ground rods.