As the Shag Fund scandal has unfolded over the last several days, one of the details that stands out is the fact that Rudy Giuliani provided a security detail for his mistress -- even when he wasn't around -- which led NYPD personnel to, among other things, walk the mayor's girlfriend's dog.

Today, the New York Daily News adds an interesting angle to this.

Unlike her predecessor as mayoral girlfriend, Mike Bloomberg's gal pal, investment banker Diana Taylor, has never had a separate police protection detail.

Taylor, 52, takes the bus every day to her midtown office and rides the subway to business appointments. In the six years Taylor and Bloomberg have lived together, she said she has never had reason to want or need personal NYPD security.

"I don't have security in Bogota or Nairobi or Moscow when I travel there on business, why would I need security in the safest city in the world?" Taylor told the Daily News yesterday. [...]

The nearly 6-foot tall Taylor is often recognized on the streets and subway by New Yorkers, who shout out advice for her to pass along to the mayor.

While that's interesting on its face, I'm also curious about the story behind the story. Did Bloomberg know that Taylor was dishing to the Daily News about an angle that makes Giuliani look worse?

And if so, might this a subtle example of Bloomberg throwing Giuliani under the bus?