Would you force someone to use a typewriter when the computer is available? A kerosene lamp when you have electricity?
The idea of forcing people to write by hand is ludicrous. If you think you can learn anything useful from that, you are deluded. Schools don’t even put much emphasis on it any more, and soon, they probably won’t even bother to teach handwriting. Just typing.
I certainly wouldn’t have a job if I had to submit handwriting. No one would be able to read it.
You can tell whether someone can spell correctly or use grammar correctly with typing. Look at what happens here. The amount of fractured English is unbelievable, and these are folks for whom English is their native language.
Honestly, I can’t imagine a good reason for an employer to ask for handwriting, unless they eschewed technology. Maybe it’s a buggy whip manufacturer?