You respect her for being entertained by arguments? I think she's embarrassing herself on national TV to be honest, acting very childish with a profession such as hers, is only going to damage her.
She's only driving them nuts, because they are forced to be living in the same house together.
You're fixated on them "winning" arguments etc. This is the very quality of Priyas that pisses people off. You don't need to "Win" arguments all the time, people just have opinions. Lina is the same. You don't need for your opinion to "win". She needs to get over herself. And thats exactly what the other housemates have identified about Priya and Lina.
How do you even know that Travis didn't allow her the last word? You're just making things up from a 1 - 2 hour tv show edit. You seem to be filling in a lot of blanks to the series of events, that we would have no clue about.