I grow organically outdoors and "flushed" plants versus unflushed plants are definitely superior in flavour/taste.
Growing outdoors or organically/biologically does not mean that "flushing" is not needed!
You do not need to drown your plants with galons of water, just give plain water in normal amounts and at normal intervalsand the plant will "flush" itself naturally.
It is a physical process that the plant does, it can not be accelerated with giant amounts of water, a plants metabolism only works at one speed!