One poster did touch on this earlier. If the information from the military radar indicating westbound at fl295 is accurate, the level itself could be significant. It suggests the aircraft is being flown in a deliberate manner, and has selected 295 to minimise the chance of collision while crossing the north-south air routes over the peninsula. Particularly if you had the TCAS and transponder switched off.
If whoever was flying had done some homework and decided that primary/military radar would only see them above fl300, this could be another reason to select that level. Obviously if trying to avoid radar detection lower would be better, but lower could also increase chances of visual sightings. It would also burn more fuel, if you happened to be trying to maximise range.