Further more I think it will shift to more orange if I was to use Tru Oil.
Maybe try a homebrew wipe-on poly instead of Tru Oil. Poly doesn't have the amber tint that Tru Oil does. (I think the colour in TO is a result of having Boiled Linseed Oil as an ingredient).

50/50 oil based poly/turps will give you a good wipe-on consistency and is every bit as manageable as Tru Oil IMO. You can use gloss or satin poly too.