Sorry but this is a loooonnng answer....texts WERE admitted. I found them in the evidence files online, transcribed (best I can), and will print them for you here:
"So either text me that you are ready to tell the truth or give me your imaginary friend with the worst BS story you every told or leave me alone. Its a lie like no other. It is freaking foolish. There is no way out of it, you have screwed up your story so bad you can't mend it. You are caught. When will you realize that. I do not know. You have till tomorrow. To have me this persons information before I tell all of the hughes' leslie udy, the freemans, your parents and anyone else that matters about all the crazy things you have done. So either fess up or feel the wrath. No matter how bad the truth is I promise you the punishment will be better than the lie. This is worse than your magical email that a mysterious man you've never seen before wrote for you. You insult me by thinking ill believe such crap. Nothing else from you til the truth. I already know your lying so why continue. After tomorrow, its gonna get real bad for you. Time to spit it out."
Seems to me like he means facing the punishment is better than trying to live with the lie--as he would expose her if she continues to lie. Still so sad to read his words & his understanding of Jodi.