The unstated assumption here is that you have a pile of offers from Amazon, Google, Microsoft, etc along with some from startups and you have to make a decision about which to go with.
I suppose my experience might be unusual, but I don't think that's typical. You've got an offer on the table, and your choice is to go with it, or reject it and hope you're given an offer by some other company.
I've seen it go both ways. Maybe the next week you do see the better offer. Or maybe 3 months later and a few dozen rejections later you've got nothing to show for it.
So you take what you're given.