The first peer reviewed article related to this project is now out in the latest issue of Fennoscandia Archaeologica (2013). The article sums up the reasons why I have started to doubt that the so-called Sámi circular offering sites were originally built and used as offering sites at all. The reasons for this doubt include a lack of older written and ethnographic sources, certain features relating to the stone structures themselves and their distribution, and that the few local traditions recorded may very well be of a younger date and possibly inspired by a scolarly hypothesis from the mid-19th century.
For copyright reasons I am not allowed to make the full-length article available online for another year, but Fennoscandia Archaeologica can be bought here: http://www.sarks.fi/fa/fa_sale.html, or, presumably, borrowed at a library close to you. Feedback will be much appreciated!