Yes, the org & ter station time are same.
Huge time variation can exist b/w PTT & WTT, like in East Coast Exp & 03047
You can find trains departing ahead of...
more... NTES/IRCTC timings too... Example 03111
Also, a train may NOT follow WTT in some cases based on special instructions (applicable mostly for slow running passenger trains), can also depart from a technical halt (usually for crew change) much ahead of timings of WTT