That's interesting. So if you do not consider it as income covered by the treaty (in theory), then you're saying US tax would apply.
In the US, SSDI can be nontaxable, or 50% can be taxable, or 85%, depending on your income and how you file. All of which are lower than the 90% taxable in the UK. And if your income is relatively low, it might be taxed at a lower marginal rate in the US than in the UK.
So if it could be legitimately argued, it could result in less tax liability. But it sounds like you think it might be a stretch to apply the rules in this way.