01 - Preheat oven to 425°F.
02 - Toss cut potatoes with vegetable oil, salt, and black pepper on a baking sheet. Spread in single layer and bake for 30–35 minutes, flipping once, until golden and crisp.
03 - In heatproof bowl, whisk together egg yolks, lemon juice, and Dijon mustard. Place bowl over saucepan of gently simmering water (double boiler), whisking constantly until mixture thickens slightly, about 2 minutes.
04 - Slowly drizzle melted butter while whisking until sauce is thick and creamy. Remove from heat. Season with salt, pepper, and cayenne. Keep warm.
05 - In nonstick skillet, fry eggs sunny-side up or to preference. Set aside.
06 - If using, cook bacon or sausage until crisp. Drain and crumble.
07 - Transfer fries to serving plates. Top with cheese curds. Layer with eggs, bacon or sausage (if using), and green onions. Generously drizzle warm Hollandaise sauce over everything. Serve immediately.