Where time is provided, it is stored in the database.
However, time is not a required field for WWFF logs… this stems from several DxPeditions agreeing to provide logs only if time was not provided or that if time was provided, it would not be disclosed – to prevent bogus QSO claims.
There is no inherent reason why such an award could not be included in Logsearch (either as a KFF only, or as a general award) – although the time-zone calculation could be tricky!