No, they have said they want autonomy, similar to the Isle of Man, orthe Faroe Islands with Denmark. They haven't rule out that being as part of the either the UK or and Indepndent Scotland. In Fact the SNP are far more sympathetic to that arrangement than Westminster would be.
"There is nothing to stop Shetland having greater autonomy after Scottish independence, just as the Faroe Islands have autonomy from Denmark. In fact, the SNP have long been sympathetic to island self-government. In the 1987 General Election, the pro-autonomy Orkney Movement won 15% of the vote, helped by the SNP’s decision to stand aside in their favour. Contrary to the assertions of Iain Martin, the passing of the Shetland Council motion on
“exploring options” for self-determination does not spell a move towards the islands seeking union with England, after a successful indyref2. Quite the opposite, in fact."
CLAIM
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