milk, noun

1
a: a fluid secreted by the mammary glands of females for the nourishment of their young
b(1): milk from an animal and especially a cow used as food by people
b(2): a food product produced from seeds or fruit that resembles and is used similarly to cow's milk
vegan milk
dairy-free milks
see also almond milk, coconut milk, oat milk, soy milk

2
a liquid resembling milk in appearance: such as
a: the latex of a plant
b: the contents of an unripe kernel of grain

https://www.merriam-webster.com/dictionary/milk

Incorrect, it is milk by common definition, it's just plant based instead of mammalian based milk. It's not identical to cows milk discussed, but seemingly here that would be the point of their recommendation as it would lack the viral components. Also if you're gonna get hoity toity about the definition of milk you should consider that the species of cattle for mammalian based milk has never had labeling requirements in the US which is quite disengenous as even the textbook scientific definition of 'milk' does not stipulate it come from cattle, thusly what you know as milk is actually most likely "Bos taurus milk" which would then require distinction as such in every conversation, which would only get more complected if your local dairy doesn't raise the most common dairy cattle breed. 🤷‍♂️