are composts with added manures a good start for tea
Of course if you know the origins of the waste, and you know its antibiotic free, then why not use it? Forests are powered by animal dung, bird insect, mammal, livestock and so on, just as they are old leaves, twigs and clippings.
Think about the components of the soil food web, think about whats been lost in modern farming...in both cases its animals front and centre. We removed animals from the land with the use of nutrients, synthetic manures, and in doing so we lost the substitutes bench and we began running out of front line soldiers in our soils, and so we are also losing soil fertility and integrity too.
Just as there isnt a vegetable to match the protein capacity of a grass fed steak, so there isnt a green waste product that can add as much protein to our soils as a well reared/ lived cowshit. Not withstanding the impacts of different herbivores on the whole carbon cycle, but thats a whole new debate.
if you arent a vegan, and you arent obsessed with the concepts of good and bad, as applied outside of a human mind, then dont worry and do use manures.
Know you input sources, this is the key to achieving organic purity, but try not to worry too much as this concept has nothing to do with the soil food web, just as test match cricket is really the same as the one day series....
There are things we can do with unknown waste material, anaerobic digestion, bokashi fermentation and so on. green waste also may contain traces of hazardous chemical residues and or be part of a synthetic program. Cow shit can be part of this same system of course so if you want pure, know beforehand whats been fed what and injected when......
Ecoli....arrgh... try not to get sucked in to the human concept of good and bad. In a healthy soil system you needn't worry about ecoli and again you wont get it from manure more than you do soil, its a soil microbe at heart and vegans can get it by badly watering plants and allowing ecoli to splash up on to the material they then consume.
In healthy soil systems ecoli isnt a problem but a part of an overall picture and it is omni present so worrying about it wont help.
I personally think what happens in healthy soil is that ecoli, probably under the orchestra of a glomus which senses its host plant to which is its connected is under attack, is allowed to operate its secondary metabolites, which the plant then uses via harpin protein interactions to defend itself, thus the plant remains alive and this prevents the death also of the glomus.
https://www.maximumyield.com/harpin-proteins-enhancing-your-plants-natural-defense-systems/2/1044
the soil food web is much more than fungus versus bacteria, its yeasts, molds, viruses and so much more.