Most of the crew would have no idea who Picard was either which is kinda funny.
Culber had a bit of a moment like that when explaining the Soong mind transfer he was going to perform on Gray last season.
"Soong first used it on a a Starfleet admiral - Picard was his name - but the success rate was so low that eventually people just stopped trying."
Overall, though, the Discovery crew seems remarkably well-educated about the time they skipped over.
Risa? I never even met 'a!