Per "Scotland's Future" published by the Scottish Government:
"We plan that British citizens habitually resident in Scotland on independence will be considered Scottish citizens. This will include British citizens who hold dual citizenship with another country. Scottish born British citizens currently living outside of Scotland will also be considered Scottish citizens."
That's the day one proposition, which is vastly more inclusive (people are one of Scotland's best exports) than you've asserted. Going on:
"Following independence, other people will be able to apply for Scottish citizenship. For example, citizenship by descent will be available to those who have a parent or grandparent who qualifies for Scottish citizenship. Those who have a demonstrable connection to Scotland and have spent at least ten years living there at some stage, whether as a child or as an adult, will also have the opportunity to apply for citizenship. Migrants on qualifying visas will also have the option of applying for naturalisation as a Scottish citizen."
Regarding dual citizenship:
"The UK allows dual citizenship for British citizens. If a British citizen acquires citizenship and a passport of another country, this does not affect their British citizenship, right to hold a British passport or right to live in the UK. The Scottish Government will also allow dual citizenship. It will be for the rest of the UK to decide whether it allows dual UK/Scottish citizenship, but we expect the normal rules to extend to Scottish citizens."
There's no reason to expect that the UK would not extend dual citizenship to Scottish citizens formerly citizens of the UK, however it's probably fair to assume taht this would be a bargaining point that may cost Scotland a few claims at the negotiating table. That's part of the reason that Salmond et. al. have to make rather egregiously padded claims - the negiotiations will be... interesting.