He's trying to gain a minor benefit of cross-timezone synchronization at the expense of a major cost of disconnecting your lifelong sense of time from your daily activities. You would have to relearn what 3am meant in a practical sense (mid-day?, mid-of-night?) in your part of the world, which would be a big pain, but you could eventually do it. What would the big payoff be for that effort? 3am for you would be the same "instant" as 3am for someone in another timezone. Great, but you wouldn't know whether that instant would be their mid-day or mid-of-night, so you would have to look it up anyway to schedule the meeting, just as you would if you were on different timezones.
Then you move to another timezone and have to learn the meaning of 3am all over again.
Lots of pain, no net gain.