I’m not a mechanic, but I’ve replaced a handful of bottom brackets. Most recently on my Focus Mares as well.
Personally, I’d slather it with grease. Much better to have extra lube in there, than too little and get a stuck/corroded bottom bracket you cant remove.Also, IMO, gobs of extra grease than smushes out when you install the BB serves the added benefit of forming an extra obstacle for water to get through.