If there is classic award availability, then yes - the any seat will book into the classic X bucket.
Any seat awards will also book into E, N, O, Q on red e-deal but I'm not sure of the exact order.
The more expensive (upgradable) fares are super-saver and flexi: B, G, H, K, L, M, S, V. Of course fully flexible Y, but I can't recall seeing that pop up as an option for international any seat awards.