From what I've read of the Scotland paper it appears to be mainly wishful thinking.
The Scots politicians seem to think that 'equal treatment' would mean that on any national (UK) matter Scotland gets an equal say with Wales, England & Northern Ireland, rather than a say proportional to their population.
Before the referendum the Scots held a referendum on whether they wished to be a separate state, or part of the union. As a result they are included in the UK for what happens now with Brexit.
They may wish to be the 'tail that wags the dog' but that isn't going to happen.