So, if you take the inventor dedication, and you are not trained in medium armor, but you choose the armor innovation, then are you trained in that innovation? Because the armor innovation is medium armor. And the archetype doesn't mention anything about needing to be trained in medium armor before taking the innovation or giving you medium armor proficiency.
So it would seem the intention is that you are trained in your armor innovation, though obviously not in all medium armor.
Following that logic then what if you choose weapon innovation, and you don't have martial weapon proficiency, but it gives you the option of choosing a martial weapon, are you then trained in your innovation if you choose a martial weapon?
I ask this because taking the construct innovation is very powerful because it gives you something you can't just buy. But if you take the weapon innovation then it seems like it's just slapping the innovation title on a weapon you could easily buy. This seems very imbalanced. Even the armor innovation is something you can't just buy in a shop. But, if you don't have martial weapon proficiency like with my sorcerer, and this gives you proficiency in one martial weapon, then at least it would be somewhat balanced for characters that don't already have martial weapon proficiency, since it's giving them something they couldn't just go out and buy. (Though I would still say that it's a little lame for classes that already have martial weapon proficiency and they want to use the weapon innovation, this basically just slaps the innovation title on a weapon they can buy in any shop)