Preheat Traeger Grill or oven to 425F.
Add the hazelnuts to a dry pan and place over medium-low heat. Toast the nuts, stirring regularly, until fragrant and the skins are slightly browned, 8-10 minutes. Transfer the toasted nuts to a clean kitchen towel, fold over the edges and gently rub between your hands to release the skins. Roughly chop the peeled and toasted nuts and transfer them to a bowl. Set aside.
In a small bowl, combine the butter, anchovies, lemon zest and lemon juice. Stir well to combine and set aside.
Peel off the outer leaves of the cabbage and trim the stem. Slice the cabbage in half, then slice each half into 3 to 4 wedges, depending on the size of your cabbage, making sure to slice through the core each time.
Preheat a large, oven-safe pan over medium-high heat. Add the avocado oil and heat until shimmering. Add the cabbage wedges and cook, undisturbed, until charred and deep brown in colour, around 5 minutes. Flip the cabbage wedges and cook, undisturbed, until charred and deep brown in colour, around 5 minutes. Add the anchovy butter and let melt. Add the chicken broth and stir to combine. Transfer the pan to the Traeger Grill or oven and cook until the cabbage is fork-tender and the broth has reduced by ¾ in volume, around 20 minutes.
Spread the tahini across the bottom of a serving platter, arrange the cabbage wedges overtop and drizzle with any reserved broth. Garnish with Aleppo pepper, chopped hazelnuts, and the herb & caper salad. Serve immediately.