I am going to jump in here as I also appear to have an odd mix of parts on my '39 VH.
Christain....looking at the photo of your assembly it looks as though you may already have the 945A washer in place. The clearance at the other end looks similar to mine. My exhaust side assembly has 0.055 inch clearance and the inlet side 0.035 clearance. The rocker levers /arm assemblies are both the same length and my distance washers are 0.123 thick (with a bevel on one side of the hole) so the 20 thou difference must be in the rocker box castings.
This is what I can work out:
1938 to 1947 : (cast part numbers in brackets)
Rocker housings: 845-38 (A7 617) and 850-38 (A7 618)
Rocker spindles: 895-38 (A7 621)
Rocker levers: 911-38 (A7 620) and 921-38 (A7 619)
Distance washer at oil feed end of spindle: 945A-31(A7 28)
No parts list found for 1948-50 so I do not know when the following part numbers first changed.
1951:
Rockers housings: same as earlier models
Rocker spindle: 895-49 (A7 621A)...different
Rocker levers: same as earlier models
Distance piece: same as earlier models
Rocker spring: 905-52 / K79-47...addition
1952 /53:
Rockers housings: same as earlier models
Rocker spindle: 895-38 (as 38-47 models ...is this a mis-print?)
Rocker levers:as earlier models
Distance washer and spring both listed
1954: As per 1951 parts list
The only difference between the 38-47 setup and 51 onward appears to be the rocker spindle and the addition of the spring (the distance washer was still being used). The other photo Christian posted apparently shows the later setup, with a distance washer AND a spring.
I think the wider diameter end section of the later spindles may have a slightly shorter length and this provides the extra space required for the spring to be fitted ....the spring protrudes slightly into the cast boss on that side. My reasoning for this opinion is that a spring had been fitted to my exhaust spindle in addition to the distance washer. However, as mine was an earlier spindle, this had moved my spindle outwards. The spring was totally coil-bound and the rocker arm stiff to move. Two thick fibre washers had been used to seal the spindle.
The distance washer aligns the rocker arm/lever correctly...if it was omitted the assembly would move sideways and the pushrod / valve alignment would be out by about 1/8 inch. I can only assume that the spring was added later on to reduce the sideplay seen in my and Christian's setup and stop any noise that occurred due to that clearance, the change in spindle allowed for this.
In my case I think I will just use some shim washers on the opposite end of the spindle to the distance washer to give about 5 thou of play.
Of course I could be wrong

and if so maybe someone will put me straight. It would be handy if anyone has a later spindle which could be compared with an earlier one.
Cheers
Alan