[narfforc]

Sorry Manwe but I do not agree. Let us look at the one sentence, in which he describes himself:

1. Saruman the Wise, well that goes without saying, he was so he thought.

2. Saruman of Many Colours, he is not telling us how many different coloured undergarments he possessed, Gandalf tells us the truth of this statement.

3. Saruman Ring-maker, ?

So how can we believe one part of the statement and not another, if Tolkien left that in the published version of his work, whilst alive, then that is one that counts.
So if Saruman was only calling himself Ring-maker because it was one of the multitude of names attached to Sauron, why didnt Tolkien include that as an explanation, because the words speak for themselves, we don't need an explanation.

Now if Gandalf had not mentioned a Ring, it would have given more weight to your argument ie: if Gandalf had only mentioned the words Ring-maker.