Nope, they run independently.
In 1974 Dad replaced some burnt out ones with flashers. Each one contains it’s own flasher, so they run independently.
When it’s quiet you can hear them tinkling. Out of 8 originally bought (they came in 4 packs) 6 are running today.
My grandmother (and my aunt, her daughter) making kolaches.
And divinity - With nuts, or without nuts? Ok, I have some of each!