It is a case of Special pleading as you cleverly spotted, and it is used a lot by literalist Christians, in general. (Especially fellow-Christians, to my disgruntlement.)
Note: you can never get them to see this no matter how many times you tell them it's fallacious.
Do you think that saying that the singularity is not subject to time, as in there's nothing before the Big Bang, is special pleading as well?
Not really because that is also applied to a black hole.
When I refer to fellow-Christians, I mean YECs that I know personally. They will apply science to many things, but when it comes to the bible, all objectivity is diminished.