Xavier Quinn and Renard Quinn had different stances, hence, they viewed the same problem from different perspectives.
Even though they understood that Luke Perkins was most interested in the formula in Olivia Taylor's hands, fundamentally, the two men used to have a family relationship.
In Xavier's perspective, if they were a family, there would be an inescapable possibility of whispers and leaks.
Moreover, the fact that he had fainted and was admitted to the hospital only happened after Olivia Taylor had arrived. It was entirely possible that Olivia could carry out such actions.
Renard, however, vouched for Olivia Taylor.
"Not to mention that she is now divorced, even the current Olivia Taylor would barely have time to hide from Luke Perkins, how could she possibly exchange information with him?"
"You've investigated Olivia Taylor, you should know who she really is."