I did a bit of investigating exactly which components of war pensions fell under the relevant part of the various compensation orders, and fell to be fully disregarded about a year ago.
From what I remember, Unemployability Supplement, as a payment directly relating to disability, attracts a full statutory disregard, as should Constant Attendance Allowance (inc. Severe Disablement Occupational Allowance & Exceptionally Severe Disablement Allowance), the WP Mobility Supplement. There may be others, but I know these ones are all fully disregarded outside the local scheme.
Off the top of my head, I can’t remember exactly where I found all of this, but I do remember spending entire days on opsi.gov.uk reading more legislation than I should admit.