Changing upwards of 200 logins to use a new email address may be troublesome. Do you keep a list?
I just keep the old GMail for now, and whenever I receive a valid email there, I visit the sender website to update it.
This depends on you remembering your "low-volume important accounts" like government websites you visit once a year, but otherwise, I would not cry if my imgur account got lost or something eventually.
Edit: Looks like LastPass does it with a screen scraper https://support.logmeininc.com/lastpass/help/how-do-i-update...
The effort is only one time or one day at max. And the rewards are worth the time.