Exactly. They want to only have direct personal emails so that if someone is a spammer they can easily be blocked/banned. And so that there are consequences for spamming. This is sort of the same principle as KYC.
It is an immutable law of commerce that any effort (be it legal, technical or otherwise) to protect people from obnoxious and/or harmful behavior by businesses will be fought tooth and nail by obnoxious and/or harmful businesses.
Businesses block fake email generators because they’re overwhelmingly used by fraudsters/spammers/etc trying to abuse systems.
Anybody who’s ever run an internet service that allows open registration or has a free plan knows this the hard way.