StringOh,
Let me break down my original reply further so there is no confusion.
All international aviation is conducted using UTC
This means that the clocks in the aircraft are in UTC, the FMS is programmed in UTC, the RTA/ TOT demanded by the operating authority is in UTC, all official radio transmissions are made in UTC.
The FMS/ MCDU will give the estimated time at all waypoints (including arrival time at destination) in UTC and also any correction required to achieve that time (something that might be a surprise to you based on your posts...?)
Nobody gives a flying fig about local time/ current time (or any time that isn't UTC)
WRT looking at the clock vs looking at the MCDU and the 'gaze trajectory' It's not really something that an airliner cares about since they aren't exactly maxed out enough to not be able to glance at a clock. In aircraft with HUDs the timing delta (ahead or behind time) is often shown , but not the actual time (in UTC of course)
