There is no such thing as a "Military Spec" 8-32-UNC-3A, alloy steel cap screw, undrilled head, with phosphate coating.
The closest thing to a military specification for a "8-32-UNC-3A, alloy steel cap screw, undrilled head, with phosphate coating" was MS35459, but back in 1962 the #6, #8, #10 and 1/4 inch sizes were deleted from the specifications, then in 1964 the whole specification was declared "inactive". The military currently uses standard cap screws that are made to Aerospace Industry Standard NAS1351 or NAS1352, a commercial standard. According to ASME B18.3, and NAS1351/NAS1352, 9/64 is the standard key size, as are the few remaining active military standard cap screws (cadmium plated or drilled CRES screws). The obsolete MS35259, MS35456 and MS35455 did call out a 1/8 inch socket.
That is why the military carrier key screws do not have an "MS" number, but an M16/M4 specific part number: 8448508.
So, while everyone assumes they are standard ASTM A574, 2520 pound tensile proof load, 8-32-UNC-3A, cap screws, or NAS1352-08-4 screws they aren't. Until you can see the requirements set out on DWG #8448508, you just don't know the actual proof load is supposed to be. They might be softer so as not to be so susceptible to cracking.....
Your splines might not cause the screw heads to exceed the dimensional tolerances of ASME B18.3, or NAS1351 or NAS1352, you might check, however, those castellations probably will.
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