Another point, I am not familiar with the 744, but on the bus there is a limitation for duration of flight with one engine shut-down, for concern of damage to the engine due to lack of lubrification with cold oil. Is there (or not) such a limitation on 744??
There is no data that I am aware to support a concern for windmilling without oil be it cold or hot.
The oil is mostly present to carry away the friction heat generated under thrust load conditions. Thus just a minute coating is all that is needed
These engines sometimes sit outside a hangar for days windmilling away in the breeze while not producing a thrust load on the bearings.