I don't think an element meant to kill enemies with would null the possible drops. That is unless before broken into melted ice that it changes the current monster ID to one another. If it does not, (Which I don't think it does do this) it should still have an equal chance to drop, If it does, then it should drop equal to of what the ID has capable of dropping. This is just some common sense backed up with general information and possibilities so don't take my word 100%. I was just stating possibilities.