I was just about to serve lutefisk to a party of Finns. Since these genetic markers mean they don't have the requisite digestive enzyme, lutefisk could have killed them faster than a logging accident! Now we can just skip to the akvavit without the awkward formalities.
This still doesn't explain why Finnish, Hungarian, and Korean are related languages.
The Finnish and Hungarian (Magyar) languages are Hunnish languages, the connection to Korean is more conjectual. If we assume that Finnish speakers arrived in the area some centuries BC (see Tacitus' Germania, they could have dominated the folks there before, this would explain the quote: 'our data suggest a small eastern contribution among the Finns, consistent with the historical and linguistic background of the population.'
Finns may eat lutefisk, but it is still a nasty suggestion.
> This still doesn’t explain why Finnish, Hungarian, and Korean are related languages <
Because after the Huns occupied Korea ca. 500 AD, they took a lot of Korean war brides back home to Hungary.
Therefore, with many mothers in Hungary speaking Korean to their children, the Korean language gradually infiltrated itself into the Hungarian national consciousness.
(Moreover, although the Finns didn’t occupy Korea, a lot of them worked there in the PX for the Huns, and they also took a lot of Korean brides back home with them.)