Sorry, I meant it'll be turning at Huddersfield (or cancelled throughout- hopefully not!) while the line west of Huddersfield is being rebuilt. Not for that whole period of course, but it'll likely endure a number of extended blockades just as the lines east of Huddersfield have.
That would be the ideal time to transfer it to Northern, or rather the Northern department of GBR, as it'll make sense to use resources (crews and stock) from the Yorkshire side.
Once TRU is fully completed, I agree that there's a strong argument for running it as it does now (engineering blockades notwithstanding) going forwards, eventually using Northern's bi-mode units.