My recollection was that:
1. Hawk T1A = Provision for AIM-9 and the intervalometer
2. Weapons carry was always part of the T1 spec (if fitted or not)
3. T1(W) was a semi-formal shorthand for T1 actually fitted with the weapons employment capability
4. There was always confusion over the above, not helped by the T1A mod being a cover mod for a bunch of things, including kit that didn't actually make it onto all T1As
5. None of the above matters