Possibly. The writers seemed keen on trying to establish a rapport between them in Elseworlds.
I think it depends on how big the Crisis event is--the impact to the various shows during the lead up and the fallout from the conclusion.
Crossovers are fun, but too much can take away from the individual productions.
Personally, I can't say that I am overly excited by the prospect. Maybe after I get to know the Batwoman character a bit.
EDIT: I think the odds went up with Sunday being Batwoman/Supergirl night. They could create some synergy with a single girl power night event. BW at least pairs better with SG than Charmed did.