Since you attribute all of God1 attributes to a possible "real" God2, all you are really asking is that if the Supreme Being can be a Liar.
Omnibenevelence demands truth, does it not? A lie is not consistent with the nature of God as Supreme
No, i do NOT attribute all attributes of a God1 to a God2. I SPECIFICALLY construct God2 so it lacks some of the attributes of God1. For those reasons i am at no place calling God1 a liar, for he can, per definition, not lie.
So let me ask again:
im assuming (as you) there is only one God, who can be either a God1 or a God2. Now we got to figure out which he actually is, and i claim there is no objective test one can perform, and there is no rational argument to exclude one of the two options. Do you agree with that?