I captured quite a few tables into electronic format. Then I had to check all of those values. I used the data to create graphs for checking purposes. In some cases these graphs differ quite a bit. Basically tables do not capture the points in correct spots to get the same graph shape. There are also other differences as you point out below.
I had a look into the metric edition. There are some rounding issues like between the allowable stresses in imperial and metric editions.
I did contact the software supplier. They are still of the opinion that at temperatures below 300 F irrespective of A value Step 7 formula is to be used. I will try to get an opinion from ASME engineers.
By the way, for such cases ("A" is to the left of graph) is strange (but not wrong) that the Table CS-2 and Figure CS-2 starts in different points. Table says A=0.176*10^(-4) and B=250 psi and graph starts with 0.000176 and 2500 psi.
Both pairs are "correct" (in the limit of work approximation), just graph is more truncated than the table.