1/ As far as I know, and as far as my tests show, enemies get full TUs when standing up on a new turn.
This was always so.
In OXCE 6.0 (in year 2019), it became configurable:
New OXCE v6.0 is up.
2019-10-13
- Configurable TUs when waking up at the beginning of a new turn (global parameter 'tuRecoveryWakeUpNewTurn')
2/ When standing up during the turn (e.g. woken up by medikit), they don't get full TUs.