The article really says bees stop flying any time it is dark, including at night. There's nothing special about their behavior during eclipses here.
Low-intensity lights/screens (compared to the sun) wreck havoc on our circadian rhythms, it seems plausible that it disrupts the (not just circadian) rhythms of other organisms as well.
Here is a thread with a graph of the spectrum: https://physics.stackexchange.com/questions/244922/why-does-...
I feel like this is such an American/Capitalist attitude.
It's fine! They'll be more efficient and collect more honey!
I'm pretty sure if I had to live with lamps shining on my face all night it would disrupt my circadian rhythm, regardless of when I naturally prefer to sleep.