I looked up the ITV (MOT) manual for axles.
There is no specific failure for any welding that has taken place provided the axle is secure and the welding is "sufficient".
For info, here's the line form the UK test manual:
"Welded repairs to highly stressed components [defined a couple of paragraphs back as 'such as steering and suspension arms, rods and levers'] are not normally acceptable, other than where the component is made up of sections that are welded together. To pass, the repair should appear to be as strong as the original design."... although its not clear whether the torsion beam counts as such a component.
(Section 6, here: https://www.gov.uk/guidance/mot-ins...appendix-a-structural-integrity-and-corrosion)
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