I don't know that this is part of "game playing" so much as someone thinking they can handle the truth when perhaps they struggle more with it than they would have expected.
But it all depends on what "truth" you speak of. The truth that a dress looks terrible on them, or the truth that their husband is seeing another woman, or the truth that they are actually quite wrong in the argument you are having?
My husband kept his affair from me for 6 months, and when I did find out, I couldn't believe he'd lied about it for so long. When questioned, he said "Why do you want to know these things that will only hurt you?". He actually felt justified in lying to me so that I wouldn't be hurt. This is what I'm thinking of when I quoted CS Lewis about finding only despair when you seek only comfort. I'd rather seek TRUTH, take that bitter pill, and go on with life. Am I strong enough to handle it? Well, I'm still standing, praise the Lord.
If you mean more frivolous things like how her hair looks or what you are REALLY thinking when you shut your mouth tight during an argument... every woman handles those things differently. My comment referred more to "big" lies that really matter.
For example: In my post that you quoted about bad boys never telling the truth, I was thinking of my ex I'm afraid, who found it easier to lie and pretend everything was great, than deal with issues that could have been easily corrected had they been brought out in the open.