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There's not really any such thing as a "full structural survey":
House surveys tend to be undertaken by chartered surveyors as part of a valuation, a homebuyer’s report, or a building survey. Such reports often highlight the need for a structural engineer to assess a specific structural defect, this would be more usually termed a structural inspection.
As a structural engineer, we rarely get called in as part of the home buying process, but when we do, it's often because there the lender won't loan unless we give the OK.
I agree with this. I think a "full structural survey" (whatever that means) is more likely to give you false confidence than uncover some terrible issue that would have been a nightmare to sort.