The price differences are a lot larger than that. It's about $380 now for the 5800X3D if you're reusing RAM, $430ish if you're buying new, DDR4 ram prices are quite low now.
The 7800X3D by itself costs more. You're looking at closer to $780 for that. That's a substantial price difference, it's over twice as much. You can just spend that difference towards a better GPU, unless you're already using the 4090 in which case money doesn't matter and you might as well do the 7800X3D build. For anyone else the price calculations really heavily favor the 5800X3D, especially depending on what you play.
And, going further on price, going towards that range you're better off just getting a PS5 or X-Series, or getting them both. Unless, again, you're going 4090 level, but you can tag another $1500+ on if that's the case and now we're well into the $2k+ range to what, play video games? I mean it's fine if that's what makes you happy, but since the article is citing price points I just don't understand how it makes any sense, from a value perspective you get the 5800X3D or a console, where value doesn't matter at all and you just want the best possible, that's when you get the 7800X3D. But really even there your other components matter, at 4k does it really? Maybe you'd rather get the 13900k?