I wrote to ICANN support and got a template-AI answer wholly unrelated to my complaint about this:

”Greetings from ICANN Global Support.

I am sorry to hear you are experiencing this domain access issue after your registrar's transfer. I will happy to provide you with relevant information and guidance.

Please note that, ICANN accredits companies as domain name registrars and works to ensure contractual compliance with the terms and conditions of the 2009 and 2013 Registrar Accreditation Agreements (RAAs).

ICANN does not provide domain name registration or manage domain accounts. As a result of that ICANN is not able to perform domain management for you.

If you need help to access and manage your domain, you will need to contact your domain service provider or registrar for assistance.

You may check who your registrar is by doing a domain search at lookup.icann.org.”

Absolutely infuriating