I'm unfortunately not familiar with his specific canon, but Capcom and honestly that he's carrying around vials of chemicals, Jill would definitely ask about that. Probably with very little tact... and very directly...

She might be able to hit your willing to call him on bullshit want, but it would depend on how/if they got along and how they related. She typically does have tact, but if they get friendly she can be pretty (overtly) direct with people!