The Informix translator adjusts only time value according to server's timezone. Timestamp values are adjusted only if 'DatabaseTimeZone' property is set. Date values are not adjusted at all.

I am not sure what is Teiid's logic in this case. Is the difference between server's timezone and database's timezone taken into account? Or only the timezone of the database?
-------------------

Server's timezone - GMT+1
DatabaseTimeZone property - not overridden
Result:
|time|date|timestamp|
|01:00:00|2000-01-01|2000-01-01 00:00:00.0|

Server's timezone - GMT+5
DatabaseTimeZone property - not overridden
Result:
|time|date|timestamp|
|05:00:00|2000-01-01|2000-01-01 00:00:00.0|

Server's timezone - GMT+5
DatabaseTimeZone property - GMT+1
Result:
|time|date|timestamp|
|01:00:00|2000-01-01|2000-01-01 04:00:00.0|

Server's timezone - GMT+5
DatabaseTimeZone property - GMT-1
Result (int this case
|time|date|timestamp|
|23:00:00|2000-01-01|2000-01-01 06:00:00.0|

Informix:
...
datevalue date,
timevalue datetime hour to fraction(1),
timestampvalue datetime year to fraction(1),
...

VDB - foreign table:
...
DateValue date OPTIONS (NATIVE_TYPE 'date', NAMEINSOURCE 'datevalue'),
TimeValue timestamp OPTIONS (NATIVE_TYPE 'datetime hour to fraction(1)', NAMEINSOURCE 'timevalue'),
TimestampValue timestamp OPTIONS (NATIVE_TYPE 'datetime year to fraction(1)', NAMEINSOURCE 'timestampvalue'),
...

VDB - view:
...
DateValue date,
TimeValue time,
TimestampValue timestamp,
...
AS ... DateValue, convert(TimeValue, time), TimestampValue, ...