It does says all that I wrote quite clearly. There is no other way to interpret it. If you feel like allowing Stealth rolls within range of Blindsight, have at it. If you believe your viewpoint is the way the rule works, I'd love to bet you money you're wrong. I'll allow The Sage to settle the bet.
Blindsight effectively negates Stealth within its range. Negates invisibility. Due to defeating both, it is better than sight. Continue to argue until The Sage settles it for players like yourself that are what....allowing Stealth checks within Blindsight range? Don't be surprised if most DMs don't allow it.
You are the one using the logical equivalent of "longswords laying eggs" because you are adding elements to Blindsight that don't exist. Basically, you are claiming that each stealthling can work against blindsight depending on how the creature's blindsight works. Yet individual entries for Blindsight on a per creature basis do not exist. It is a general ability given to a variety of creatures with no exceptions noted that I know of. So you adding exceptions is "longsword laying eggs" logic. Meaning you're adding elements that are not there while I'm saying "a longsword does 1d8 slashing damage" and it doesn't matter if it is cutting an orc with a tough hide or a thin skinned salamander, it still does 1d8 slashing damage.
To put it simply, Blindsight picks up on anything within its range regardless of whether that thing is hidden behind a rock, masked by an invsibility spell, moving silently with elven shoes, or clouded in a mist. Unless the ability says it functions against Blindsight, it doesn't stop Blindsight from detecting you within its range. As in it does exactly what it says it does. What it says it does is better than sight because spells and special abilities that work against sight don't work against Blindsight.
You choose to add exceptions that do not exist. And with that I'm done with this particular discussion as there appears to be no amount of logical discussion that will cause you concede that you are wrong. I imagine only an official ruling will do that. I doubt such a ruling will be made as it is unnecessary for 99% of the community that clearly understands how it works.
Actually, no, I never said anything about a case-by-case treatment of blindsight. Other people have, but I have not. I think it works the same for every creature that has it. I think it works as a substitute for sight because that's what the rule says it is. I'm adding no exceptions or stipulations, and I'm not claiming it does anything beyond what it says it does.
You, on the other hand, are arguing from the position that your conclusion is true. That's called circular logic, and it proves nothing. For a sound argument, you must start from premises that everyone agrees on (in this case, the words written in the rulebooks) and proceed toward your conclusion.
What you are trying to convince me of is that blindsight is the same as x-ray vision. You have given no evidence to support this, but instead you're accepting your own conclusion as a premise, while I'm telling you that your premise itself is flawed. There is nothing in the text that says you can see through solid objects. There are, on the other hand, comparisons to sight and echolocation in the text. I am not the one adding extra traits where they don't exist. I am following what I read in the books.
The blindsight entry says nothing about stealth, so there is no reason to believe it has any special interactions with stealth beyond the logical extension that invisibility and darkness (both of which affect vision) will not help you hide from someone with blindsight. It can also negate effects like displacement, blur, gaze attacks, and obviously blindness. But it's not x-ray vision. The ability to see through solid objects is a pretty big deal, so it stands to reason that they would explicitly mention that if it were the case.
There's a big thread about this on the Wizards community forums where pretty much everyone agrees that this is how blindsight works, not to mention that this is how blindsight has worked in every previous edition that has it (as well as Pathfinder), so I wouldn't go placing any bets if I were you.