Hard, hard disagree. I'm glad this "beg bounty" behavior has a name for it, because it's so f'ing obnoxious, and so common, and all it really does is make it that much harder when a serious researcher does need to report a real vulnerability.
Let's not pretend there is some sort of gray line between what responsible disclosure looks like, and what bullshit beg bounty disclosure looks like - after all, Hunt does an excellent job showing the difference. He showed an email he wrote that identifies where he's from, and gives clear verifiable evidence of a serious breach. That is night-and-day different from the "I found something naughty on your website, will you pay me??" example from the beg bountier.
Point being, if you are a serious researcher and you have actually found a high-value vulnerability, there are proper ways to message that even when you feel compensation is warranted. These beg bounties never look like that because they all have the same achilles heel: the "vulnerability" is such an eye roller that they can't actually give evidence of it before asking for money precisely because they know it's so low value.