I love all your different hair colours. I'm not sure about Directions oranges, I think mandarin is red based (I used it once a while ago.) I would strongly recommend the adore oranges though, I've used a lot of orange dyes and in my opinion their oranges are really lovely.
Red based oranges from Directions are coral red (between orange and red), tangerine and mandarin, and apricot is yellow based.
Naplam Orange and Hi Octane Orange from SFX are red based, though Hi Octane fades more yellowy orange
Adore's Sunrise orange is red toned and super bright, it's really pretty!