Yes, that would be a very useful option. Upvote from me.
Especially if combined with a changed Ideology situation matching the changed Age situation. As an example: Yes, you can start in the Age of War, but since you're there, you don't have any way of claiming the Pragmatic "Cannot Declare War on Me for 50 Turns" perk. After all, since you start the game with all those "early game" techs discovered and have the basic Military ones too, you shouldn't be at such a disadvantage if some race does declare War on you.