I think any competent email provider will throttle or block you the first time you send a burst of messages.
I host my own email server and I am pretty sure chats will be instant with it as well as with their servers.
However, some email providers implement various throttling mechanisms.
If you are OK waiting for message to arrive or be dropped silently, you may continue to use Google and Microsoft email.
One problem I did run into was “allowed number of outgoing emails”. If you use groups in DeltaChat, even a small grouop of say 10 members will incur a lot of outgoing messages. The provider I originally used has a limit of 200 emails per day, so that was a showstopper.
If you use DeltaChat's chatmail server (which will happen per default if you don't provide an email account of your own), this will not be a problem.