They're still over saturated. Skin tones always have a cosmetic/tanned look compared to real life. Mirrorless camera photos have a lot better output. You can see that even in the first sample comparison. If you look at the photo on the iPhone right when you took it, it doesn't look like the subject you just took a photo of. It's always over saturated compared to real life.
But really, the biggest advantage that mirrorless/dSLRs have over iPhones is the ability to connect a huge, powerful flash that you can directly fire at the subject. That's an absolute game changer for the typical use case of people photos - indoor parties, events, etc... Typically low or medium light situations. The Xenon light on a flash is basically close to a perfect natural light source with a CRI of 100, like the sun, so colors are always perfect. It's why red carpet photographers always use a huge powerful flash directly pointed at the subject.
But iPhones generally have to rely on environmental lighting (the iPhone lamp isn't bright enough to overcome environmental lighting effects).
Environmental lighting is a muddy mess. The subject is lit not only by various mismatching lamp colors with low CRI, but also by lighting reflected off a slightly beige wall or a bright red carpet on the ground.
BTW this is why I hate it when wedding photographers use bounce flash. They're lighting the subject by reflecting light off a beige wall or ceiling, muddying colors up completely. You never see professional red carpet photographers use bounce flash... (yes, I spent years doing red carpet and fashion week runway photography)