If NTES is to be believed for its authentication than 22410 departed ahead of 12354 and 12354 had to troll behind gaya gr. But that was not so. It ot the gr someway between mgs-dos section. The reason as per my knowledge is only one.
12354 has only 1 stop ie at dos between mgs- gaya.
22410 has 4 stops ie at bbu,ssm,dos,aubr in between mgs- gaya.
ECR...
more... controlling and priority depends upon no of stoppages in its stretch. May be high profile status doesn't matters a lot.
Final result: garib rath humiliated by icf train.
Note: this conclusion is based only on ntes update.