No. What you are saying cheapens the value of the achievements overall. Did that person get a 1.7 luck of Irish, or a 1.2? Between ironman not actually blocking save scums, incomparable achievements despite it being the same achievement (compare trail of tears now, which is very easy, to 1.3 trail of tears for example), and the longstanding, frustrating bugs in the game and there's not much valid basis for tying achievements to ironman in the first place.
I've never liked this view of achievements.
For me they are fun suggestions of an interesting campaign (play a NA tribe, form Italy etc.) where getting the achievement is in effect a victory condition for that game, and I can start a new one.
Rather than badges to show how good I am at the game.
As a result I don't mind if it's possible to "cheat" or bodge or fudge to get them or if some patches make formerly difficult ones much easier (like Trail of Tears for example which was so much easier after the early colonists from native ideas). Basically I think for PI games achievements are more about the journey than the destination.