I just figured you didn't know any better, and made a mistake.

My confusion came because what you actually typed was, "... + swing if he crits." But, you DID clear things up for me just now - thanks for that. Might help our debate move forward if you made an effort to be that clear in the future.
I see that you like to break the rules, and make assumptions that are improbable, when doing your math - this does not support your argument, but makes it look like you are manipulating data.
Naw, you didn't think I was making a mistake, you said that I enjoy breaking the rules. Nice backpedal though: it's almost an apology but then you say I'm the one who needs to put more effort. So close!
So, you've gone from mathematical, logical analysis to anecdotal evidence?
This is gold.
Look dude. I was showing that pre-errata Sorcerer damage was a-okay, and that the changes weren't needed. I made a quick post showing some math. I don't know what you were sipping when you decided to go on a rant against me calling me a cheater and talking about 896 damage fireballs. It was hilarious though, which is why I'm deciding to respond.
Then you start with:
Also, though you don't seem to think so, there IS a cost to constantly using that Reckless Attack. When everybody, including ranged attackers, has advantage against the Barb, he's going to get hit by everything! Believe it or not, Barbarians CAN be KO'd!
Which, of course, is just a random opinion thrown out there. To which I respond, yeah, they can be KO'd, but I personally don't see it happen often. Opinion for opinion.
And now you give me this gem:
So, you've gone from mathematical, logical analysis to anecdotal evidence?
I don't even know what to say. Wow. Can I have some of what you're sipping?
Ok... I'll entertain it. I've been DM'ing for 5th edition since the Starter Box came out. I run both Encounters and Expeditions, as well as play in Expeditions and Epics, every chance I get. I'd venture to bet that I've seen more tables of 5th edition D&D, and different players and characters in action, than you have. And in MY experience, they do not. It's actually very common for characters with multiple melee attacks per round to be left with no available target for their last attack. This is one of the drawbacks built into playing a melee character, which ranged characters face much less frequently.
I've played with three different playgroups, seen maybe 20 different characters from levels 1-12, since the Starter Set. I've played through LotP. I've DM'd it. I've done homebrew and most of Hoard. My experiences are Barbarians are powerhouses and their resiliency makes swinging recklessly an easy choice. As the DM, you really have to have it out for that barbarian to drop him. And he won't be getting a bonus attack every swing, but still very often. Turns out when you're doing upwards 30+ damage to a minion it tends to drop. And there's usually another creature in range to hit.
You have different experiences? Good for you! Now what do you want?
Heh - apparently you ignored the part where I stated I was just trying to make a point.
And it was a crappy point. Getting three swings isn't as hard as you make it out to be. Doing 896 Fireball damage never happens. Next!
Let me see if I can make it a little more clear for you. If you're talking about a target rich environment, full of minions, the Sorcerer is going to be much more effective, with AoE spells, than the Barb who MIGHT get 3 attacks/round. Even assuming the Sorcerer can only get 3 targets into his Fireball's area of effect, he'll still outperform the Barb, on average - and if it's such a target rich environment, odds are probably pretty good you can get more than 3 enemies in an 8x8 area, no?
The point is, if you want to continue to argue that, in a room full of minions, a Barb will outperform a caster... the only conclusion I can come to is that you are woefully inexperienced, or incapable of seeing the bigger picture. Now, if you want to talk about a boss fight - that's a whole different story - but you seem stuck on this extra attack from GWM.
If by "target rich environment" you mean TWO ENEMIES, then yes. With TWO ENEMIES, a barbarian can get his three swings. He can on one enemy too if he crits, but less frequently.
If you bothered looking at my posts, or remembering them, I said that Fireballs are indeed good! I say that, hooray fireballs! But that's all they've got left now. THAT is my problem. I'm not "stuck" on anything, people like you are stuck on the same things so that is what I respond to.
More importantly - my main point is just that Barbs vs. Sorcerers are apples and oranges. There are so many other considerations (melee/range, single-target focus vs. AoE, one-trick pony vs. versatility), that I think a strict dps comparison is not really a fair way to evaluate the classes.
Your main point is whatever your new sentence is. You went on a rant about GWM double bonus action swings. You're all over the place now. It's a shotgun argument where you're hoping something sticks, ignore previous posts like they're not a scroll up away.
My main point was the nerfs weren't warranted, that the Sorcerer was already not some overpowered blaster before this errata, and he got significantly worse now. I don't care about your quibbles for barbarian survivability or the merits of ranged vs. melee. Seriously dude. You're looking, hoping, to win some argument about whatever the crap else. I don't know why. THIS IS MY MAIN POINT.
More please!