By jumping in their cots and sitting on their face is definitely a thing - my sisters in law were worried when our babies were born, and said they'd both put cat nets over their cots.
Even though they don't have cats.
(, Sat 16 Oct 2021, 22:47, Reply)
Cats just want the free warmth, might shut the kid up for a while too.
(, Sat 16 Oct 2021, 23:19, Reply)