Would you hire someone who knows nothing about technology (aside from being a consumer of it) to be your CTO? Probably not... similarly, we should expect people to gain experience in government before they are considered suitable.
I agree with the principle (and I despise the whole "tv stars as president" trend), but Bezos' experience isn't completely irrelevant.
There was a similar argument to be made (and that has been made) about Trump and business experience. Now, Trump's failures as president are correlated with his failures as a businessman and in life in general, but it doesn't undermine the logic.
CEO of Amazon is a massive amount of experience that no former president can claim they have. And although Bezos wouldn't have experience working in government, I highly doubt he's unfamiliar with it; he, just like any CEO of companies like amazon, would have worked with governments (especially US government) a ton.
(Now let's not say that too loudly in case Larry Ellison reads HN and is getting new ideas)
Whereas as US president, you're effectively leader of your political party, and your greatest achievements are essentially legislative even though you have no legislative power. It's a position of leadership through coalition-building, not execution through delegation and accountability.
There's certainly overlap, but overall they feel like night and day.