Perhaps a meaningless distinction (there will be a global food shortage, and it's going to very hard in the developing world), but the BoE didn't warn of 'apocalyptic' global food shortages. The BoE warned of global food shortages, and apologized for sounding apocalyptic.
If you want numbers, you can maybe take a look at the UN Food Program's projections for 2022 (https://docs.wfp.org/api/documents/WFP-0000138913/download/)
~180 million people projected to be in crisis or worse food security category in 2022. I believe that projection includes the effects of the Ukrainian conflict. That number is also... not very different from the 2020 or 2021 numbers =(