Is it advisable to run stock over the jointer before resawing it with a
bandsaw?

I'm thinking of situations where you have a fairly rough piece of wood and
would like to resaw it into two halves.

I'm looking at this chunk of wood I have to process, a 4"x8"x6' hunk of
poplar and there's a cup running down the middle - so if I rip it into two
halves I won't get a square shaped object - the top and bottom will be bowed
which will make subsequent planing that much more difficult.