On the other hand, supplier writes in an email that he's shipping the microcontroller PCBs tomorrow, no kidding this time, you have a written record you can call him out on maybe the day after tomorrow, and unlike verbal phone calls no one freaks out if you stockpile emails, in fact its pretty much accepted. And this is exactly why someone lying to you or stretching the truth or making stuff up will refuse to do business by email and insist on using the phone.
So your employees are in cognitive dissonance... you're trying to set them up to fail and they're either going to be annoyed or offended or even worse, apathetic about it.