I suspect it is not on shed pilot duties, but instead has been working at Millbay Docks

Peter Kerslake says "Yes , I think that is correct , as little 1363 is on Laira's coaling line but it isn't going to take the shed staff long to refill her tiny bunker and she's undoubtably come back home to Laira from Millbay Docks after a day's labours there , as was the usual practice. 1363 , in partnership with her two sisters at Laira , namely 1361 and 1364 , spent most of her days within the former Great Western Railway 's Millbay Docks complex , the busy commercial dock for Plymouth where incoming and outgoing mail and passengers on the trans Atlantic liners plying between New York , London and France would stop off in Plymouth Sound on their crossings.
With the tightly curved trackwork and restricted clearances within Millbay the Saddle Tanks were just the job for handling wagons and stock on a daily basis , with three of the class being here at Laira , one at Newton Abbot and one at Swindon .
1363 made it into preservation , and is now safely housed at the Great Western Society's centre at Didcot ."