In fact, as royal expert Kate Nicholl told OK!
“Kate is so discreet and respects her personal life,” Nicholl said.
So, for this story to be circulating is very hard."

“People mainly see her professional side, but it doesn’t mean the fun’s not there.”
The duchess has been spotted joking around during appearances several times.
Likewise, Middleton often joins her little ones for gardening or games.

Evidently, her life is so full that minor public embarrassments can simply be laughed off.