This is what has to be understood under defossilization. It is certainly not a decarbonisation ! It means that the world is going to need a lot hydrogen to back convert current and future CO2 back to useful chemicals and that the plastics needed in food packaging will have to be much better collected, deinked and mechanical recycled, or treated by non fossil heat and hydrogen into newly usable monomers and other basic chemicals.
This means that biobased sourcing will be important, but the use of recycled material will be much more important to keep the renewable Carbon cycle turning around. The complexity of the materials will have to be reduced in such way that separation, collection and recycling is made easier and more efficient. It also means that solvents still can be used but the reuse and or recycling will be key and the burning will be forbidden. The nature of the Carbon of the ink components will be different (biobased or recycled) and will not be fossil based anymore. Polymers and pigments will be made from different chemical sources and after use the inks will have to be separated from the substrates and recycled to keep the Carbon in the circle. Process energy reduction will also remain important in the printing process from a cost point of view and for accelerating the conversion away from fossil fuels. The sustainable future will be much more than biobased alone !