Here's the ding on that countershaft pulley I couldn't identify. The countershaft spindle has taken some abuse. The somewhere along the line, previous owners/operators have converted oiling holes into set screws for some of the pulleys and gears.
First thing that I need to caution you about is that the set screw removed from the spindle cone pulley is an oil plug, not a set screw. There is a discussion of this problem up in the Sticky area, although as written it seems to apply to the 10" and 12". But it applies equally to both versions of the 6". Do not under any circumstances force it through until it touches or locks to the spindle. If you do, first time that you put it into back gear you will probably ruin the spindle.
Second, nothing on the repairs document that you quoted applies to your lathe. Again, your lathe has sleeve bearings. The three models listed all have tapered roller bearings and as far as the spindle is concerned have nothing to do with your machine. The reason that I suggested that you download the 1950 618 parts manual (or if they are uploaded, maybe the 1945 one) is that some of it does apply to your machine. But not the spindle, spindle bearings or headstock casting.
As an aside, although none of it has anything to do with your sleeve bearing machine, ABEC grades have nothing to do with any tapered roller bearing. They apply to ball bearings and some other types. The applicable standards and classes for tapered roller bearings are promulgated by ABMA and ANSI. And the numbers for one standard are mostly the reverse for the other. I increasing order of "goodness", the ABMA Classes run 4. 2. 3. 0 and 00.
Back to your photographs, The small 2-step pulley M6-428 is the early 1/2" bore pulley. If it fits your motor, use it. The later manuals and parts lists will show M6-429, which is the same pulley except with a 5/8" bore.
you were correct/I was wrongI think that pulley M6-428 came of the outside end of the countershaft assembly, not the motor...