Important: they are different kinds of products
Macro is a workspace that includes an email client alongside docs, tasks, messages, and a CRM. Tuta is an encrypted email service with its own accounts, so you move your mail to it. Twake Mail is an email platform with a Flutter client and a backend based on Apache James, aimed at professional and on-premise use. None is a simple drop-in app for your existing IMAP accounts.
Important: Tuta is only partly open source
Tuta's client applications for web, desktop, Android, and iOS are open source under GPL-3.0, but the complete mail service infrastructure is not offered as a public self-hostable stack. It is a hosted service with free and paid plans, so you depend on Tuta to run it.
Closest to Apple Mail
Macro is the closest to a fast, modern client for everyday mail, with a multi-account unified inbox, keyboard shortcuts, and shared inboxes. Twake Mail is the closest to a conventional professional mail setup, using the JMAP protocol with a client for the web, Android, and iOS, plus filtering, labels, and anti-spam on the backend.
License details
Macro and Twake Mail are AGPL-3.0. Tuta's clients are GPL-3.0.
Maintenance status
Macro, Tuta, and Twake Mail all had commits within days of this update. Twake Mail has a small community, with 656 stars on its client repository.