No, it was a juvenile troll on my part.
One of the dangers of those kinds of things, like ironic racism/sexism.....even if they are used around people who "get it", is the possibility of someone latching on to it as truth, and perpetuating it.
And of course, even though Kate, of all people, knows that the "summer break" argument is ridiculous, it can still cause frustration and pain.
For the record, my view on public education is summed up best by West Wing's Sam Seaborn:
"Mallory, education is the silver bullet. Education is everything. We don't need little changes, we need gigantic, monumental changes. Schools should be palaces. The competition for the best teachers should be fierce. They should be making six-figure salaries. Schools should be incredibly expensive for government and absolutely free of charge to its citizens, just like national defence."