Voting yes to dual qual reduces required total number of pilots across the system. That is going to reduce number of pilots the company needs to hire to replace people leaving for better places and to adjust to new FD/DT. It is in most pilots' interest to vote no on dual qual, as it will slow down your progress up the seniority list.
*unless of course the company offers something mind blowingly good in exchange of it. Which probably won't happen.