I think you're misunderstanding the "flyttgods" regulations for import of personal belongings in conjunction with your permanent move to Sweden.
That is a one-time tax exemption for people permanently changing their residence to Sweden (=immigrate to Sweden) - the idea is that you can bring your existing furniture, household equipment and other personal belonings including your existing car to your new residence in Sweden without getting hit by import taxes.
Such a tax exemption is approved only if you demonstrate your intention of being a legal resident in Sweden for at least 12 months - so you will first need to get a residence permit. Then you will have to pay your taxes here and you will no longer be eligible for British social security sevices but instead you'll see a Swedish doctor when you need one.
Sure, the "flyttgods" rules give some wiggle room to flip a car or two without paying taxes if you ever choose to migrate to Sweden, but migrating to Sweden just for the sake of flipping a used car is not worth it...
All other types of "personal import" (other than in conjunction to an actual migration) from outside of the European Union is subject to VAT and tolls.
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