I think you'd do better to have each appliance fused separately.
One way would be to have 13A single unswitched socket outlets, one for each appliance, with a separate 20A DP switch above the counter controlling each socket and fed from the 32A radial. Then you can put the appropriate sized fuse cartridge in each appliance's plug. Don't use double sockets.
Another way would be to have an switched FCU for each appliance, fed from the 32A radial, each appropriately fused, either with a flex outlet going to the appliance, or hardwired to an outlet under the counter.
In either of these approaches, you are treating the 32A supply as a kitchen radial, with three appliance outlets on it, individually fused.
One of the advantages of the individual socket and plug is that it is easy to unplug each appliance for cleaning and maintenance.
You need an isolating switch, in plain view, easily accessible, for each appliance so that it is obvious what it does, and so that anyone can switch off the appliance for example if it goes wrong or catches fire.