I think this is a very interesting question. If your site is authoritative then I would expect Google to pick up on it but I would not ditch the old domain.
If this is a new site, then its uncharted territory. A Swedish tld will score better in google.se
How do you expect Google and other SE to recognize that the site is not Swedish or oriented on Sweden?
Yeah I did this a while ago. My domain is xenogamers.org and I purchased xenogame.rs. After a while the coolness factor wears off, and it just becomes a money burden (the .rs domain was $75 a year)
Just get the cheaper one and use the rest of the money on something worthwhile lol.