The Sage Role bonus says "automatically succeed at a Logic or any Lore skill test..."

Is this any Lore skill they are at least trained in, or is it legitimately ANY lore skill whether they have points in it or not?

You know, that's actually a good point. I would say the bonus only applies to Lore skills they actually know. Conveniently, the [infused Knowledge {Talent}] makes the Sage bonus apply to everything that isn't [Forbidden Lore].

Lore skills are specialists skills, so you can not do a lore skill check unless you have put points in the said skill.