With too many Sanzos, I have to distinguish somehow. Of course, if you prefer Sanzang...?

[But he really does want to see Sanzo's face hearing her called Genjo.

It might be a slightly petty motivation, but he can't summon even the slightest shred of shame over that.

Oh, and speaking of faces he'd like to see (and pettiness)....]

... please tell Gojyo when you meet him that I said, "One is enough"!