I could wish that they had not indexed these burials using the recent (and in some cases ephemeral) local authority areas, because this is bound to confuse people who are not familiar with the evolution of local government in Scotland.
'Strathclyde', for instance, was the name of a regional authority established in 1975 and abolished in 1994 or it might have been 1995. Even while Strathclyde Regional Council was in existence, burials were never part of its remit. Burial grounds in Glasgow remained the responsibility of the City of Glasgow council, and they still are.
Also, even while the short-lived Regional Councils existed, even the Royal Mail did not use them as part of postal addresses. They retained, officially, the historic county names.