Low Carb Temperate Climate Perennials - keto polycultures (ketocultures)

I collect and sell plant genetics and build perennial food ecosystems.  It seems like most temperate climate perennial edibles are high in carbohydrates.  I'm really interested in the low carb / keto / paleo diet.  Although most the perennial veggies, trees, and shrubs that I cultivate are high in carbs (fruit, roots, seeds).

Of course you can feed the carbs to animals and they will happily convert them into high-quality fat and protein.  What about low carb perennial veggies and tree crops?  Please help me compile a list so I can build some ketocultures!  Many of these plants have multiple edible parts, some which are high carb, others which are low, so it can help to include what part of the plant we are referring to ( or at least one of them).

broccolis: Sea Kale
Perennial alliums: Elephant garlic, Egyptian walking onions, potato onions, welsch onions, ramps, garlic chives
Shoots: Edible hostas, asparagus, bamboo, milkweed, ostrich fern, poke weed, cattail
leaves: turkish rocket, Tea- Camellia sinensis, good king henry, caucasian spinach, chicory, mulberry, grape, watercres, sorrel, linden, dandelion,
Leaf stalks: Fuki, lovage
Flowers: tiger lilly, apios americana,

Here's a list that might help:  http://perennialvegetables.org/perennial-vegetables-for-each-climate-type/cold-temperate-east-midwest-and-mountain-west/

Low Carb
-shoots
-flowers
-flower buds
-leaves
-broccolis
-leaf stalks
-allium bulbs
-legume pod
-undeveloped seed
-non sweet fruits

High Carb
-roots
-tubers
-corms
-nuts
-sweet fruit
-seeds

This is a great topic. This past year I started experiencing some health problems due to the high carb nature of our garden diet, and all the starchy staples. I have shifted my focus to growing more green leafy vegetables... Which unfortunately means more annuals.  Remember that there are many overlooked edible parts of plants. The leaves of pumpkins and squash make a really nutritious and unique green veggie. Cowpea leaves, sweet potato leaves, black nightshade leaves. Berries are usually an exceptable option on low carb.  

I hope others have more ideas... Maybe I can use them here in the tropics too.