Passives, Pandas, and Dangling Modifiers

This is about a post, "Passives, Pandas, and Dangling Modifiers", to the The Chronicle of Higher Education Lingua Franca blog discussing a mistake about the passive voice and dangling modifiers.  The post contains a joke told by presenter Sandi Toksvig, presenter of a Radio 4 comedy news program:

“Though overweight, uninterested in sex, and notorious for their very poor diet,” she said, pausing for exactly the right fraction of a second while we took this in, “they were still very glad to see the pandas arrive.”

I originally thought the "they" would be the Scottish Conservative party, but it was actually the Scots themselves.