If you get five hundred e-mails per day and many of them need replies on a timescale shorter than a few hours, presumably replying to e-mail is (a large part of how you do) your job. Which is fine; that means if you spend a few hours a day replying to e-mail, you're spending a few hours a day doing your job, which is as it should be. Articles like this one are addressed to people for whom e-mail is a distraction from their jobs.
> Sadly not. In the corporate world, if an activity doesn't have a timesheet task code associated, it doesn't exist.
Then don't do it. If that stops other people getting their jobs done, that's not your problem. Trying to fix dysfunctional organization problems with "I will work harder" doesn't get you appreciated, it gets you a ticket to the glue factory. (Reference from Animal Farm by George Orwell.)
Super happy to be in the middle ground here. Post startup, pre-IPO. We track our time, but putting an hour or three as "phone/email" into toggl.com is normal.