I think these are very good questions, and those of you who are worrying, please don't.
The jurors are trying to understand where Alyce is coming from and testing her bias.
And let's be honest -- Travis behaved badly at times, and there's no harm in admitting that. There's no harm in the jury knowing Travis said horrible things in messages and that those things were over the top and inappropriate. He was trying to hurt Jodi with those messages ...and while we can see it as an understandable reaction to months of psychological crap from Jodi, he also could have just stopped contact and walked away without ranting like that. I do not think the jury is going to see that as defining Travis or turning their minds to thinking that Travis was an abuser.