Static legendaries randomized to non-legendaries?

The subject says it all. In the random generator program, you can make sure that static legendaries only will randomize into other legendaries. Is that the case here as well, or can the static legendary be a Rattata when you choose “Randomized” at the start of the game?

Thanks for your replies.

There is no option to make sure the static encounters are not randomized, so you have a (very high) chance of not getting a legendary when you are supposed to.