Did they just reveal Judy Dench/M characters real name ?

Casino Royal

JB: "I thought 'M' was a randomly assigned letter. I had no idea it stood for-"
M: "Utter one more syllable and I'll have you killed"

Skyfall

James Bond introduces 'M' to Kincade the Gamekeeper. He hears Em and deduces Emma.

Coincidence ?