BA has had 3 pre-seasons without Hayne and for all appearances seems to have built a more cohesive and balanced squad then we ever had while we had Hayne. So on the surface, I would say that BA would probably not be too interested in signing him... however, as we know, Rugby League is a business and if the club seriously thought Hayne would put bums on seats, and wanted/needed the revenue he would bring, then I would suggest they may try to convince BA otherwise. Having said that, Mad Max and the Bern seems determined to not repeat the mistakes of the past and have the Board and Management involved in the day to day decisions of the football side so I can see them both staying out of all recruitment decisions (except obviously making the $ available) and letting BA choose his squad.
TLDR: No, we wouldn't sign Hayne.