Yep, got the same issue here, although I use Gmail extension but sometimes I need to compose emails from CRM as it’s simpler. But then you’re at the risk of losing the email draft.
But I also found that if you type in an email then go to another tab in the CRM UI (such as Note or Schedule) and you close the page and come back, you can still see the unsent email there, Not sure however if this lasts until after you end the Chrome session…