Cool, nice tie-in! Or serendipity in action, whichever it is.
Yes, Number One is an intriguing character, partly because, like Pike, she was a significant part of the
Enterprise crew in its pre-Kirk days. It's only natural to imagine if that crew had adventures on a par with the ones we saw from Kirk & company. She's also intriguing just by virtue of how much we
don't know about her. What's her real name? Is she human or an alien? Why is she the first officer when she apparently only a Lieutenant? It's fun to imagine that stuff.
Ironically, whenever I rewatch "The Cage" or "The Menagerie" these days, I'm struck how how flat Barrett's performance is. While I like the character, I can see why the network wanted to recast her.