Also in making it public—even with operational security flags aside—if I’m seeing that a candidate has been through 30 interviews (arbitrary number), at a certain point it’s a flag for me about why they haven’t reached an accepted offer by that point, regardless if they’re a strong candidate. Would you approach dating the same way? “By the way, here’s all of the dates I’ve been on in the past year and I’m currently still single”—maybe there’s a perfectly valid reason for it, but it’s still going to be off-putting to someone who you’re trying to make a good first impression on. It’s got a non-zero chance to put them in a suspicious place instead of an inquisitive or curious one, which, if you’re still looking for dates (or work), probably isn’t what you want.

Edit: I think it's the difference between "honesty" and "oversharing". It's being honest to say "I've interviewed with multiple companies and we haven't been able to come to a mutually beneficial agreement." It's oversharing to give a pile of details about each of those interviews.