Saute bacon over medium heat to render fat until the bacon is crispy.
When bacon is crispy, remove bacon from pan and drain on paper towels, leaving the rendered fat in the pan.
Reserve 1 Tbsp of the rendered bacon fat and combine with the 7/8 cup sunflower seed oil needed for the aioli you will make later.
Place a cleaned large sheet tray in the oven and preheat oven to 425F.
Mix the remaining bacon fat with the halved Brussel sprouts, sliced red onion, ¼ cup vegetable oil, 1 Tbsp kosher salt, 2 tsp red pepper flakes, and 2 tsp ground sweet paprika and combine thoroughly.
When oven has reached 425F, carefully remove the hot sheet tray from the oven and evenly distribute the vegetables on hot sheet tray.
Return the vegetables to the oven and cook until vegetables are fully roasted.
While the vegetables are roasting in the oven, make the anchovy & garlic aioli.
To make the anchovy & garlic aioli, combine the 1 Tbsp of bacon fat from earlier with the 7/8 cup sunflower seed oil and 3 anchovies, plus the sliced garlic clove, whole egg, Dijon mustard, and kosher salt.
Blend contents with an immersion blender in a tall and narrow container until the ingredients are fully emulsified.
Add water if necessary to thin consistency.
Taste aioli and season with salt and freshly-ground black pepper.
When vegetables are done, remove from oven and season gently with salt and freshly-ground black pepper to taste.
Allow the vegetables to cool for five minutes.
While the vegetables are cooling, toss the shredded cabbage with the zest and juice of 1 lime and 2 tsp kosher salt. Season mixture lightly with salt and freshly-ground black pepper to taste.
Toss the roasted vegetables with the seasoned cabbage and bacon lardons you cooked earlier in a large bowl with some of the anchovy & garlic aioli until mixed together.
Served roasted vegetables in a bowl, topped with some balsamic vinegar.