Toast nuts in a small baking pan until centers are golden, 15 to 20 minutes (cut one open to test for doneness). Cool to warm, then rub off any loose skins in a kitchen towel. Coarsely chop nuts.
Cook beans in a 6-quart pot of boiling salted water (1 1/2 tablespoons salt for 4 quarts water) until just tender, 4 to 6 minutes.
Transfer to an ice bath to stop cooking.
Drain and pat dry.
Whisk together mustard, vinegar, and sea salt in a bowl, then add olive, flaxseed, and hazelnut oils, whisking.
Add beans, nuts, and onion and toss well. Season with salt and pepper.
• Beans can be cooked 1 day ahead and chilled (once cool) in a plastic bag lined with paper towels.