In no particular order, I'd like to go through their list of the "Top 10 FPS Weapons".
The BFG: Ok, yes, the BFG had to be on there, but from my recollection it had basically one use: kill the Cyberdemon. That's it. Thanks, bye bye. For everything else, barring the insane "hundreds of demons in a room" scenario (which admittedly happened towards the end of Doom 2 IIRC), it was less practical than virtually anything else, because it'd backlash on you. In corridors, it was horrible except as a "blaze of glory" weapon. Again, it has to be here because it was the forerunner of it's kind and is iconic, but damnit, I still never cared for it. I'd get it, go ooh ahh then find my plasma gun and get right back to killing things.
Laptop Gun: Whoop-dee fuck, it sticks to the gorram wall. That's a neat trick, except it's noisy, wastes all it's ammo on one target and once it starts going it doesn't stop. Really fucking useful, that is. POS gun with nifty novelty trick does not a ground-breaking weapon make. The fact that they don't mention the alien rocket launcher (with the seeker-cam) is heresy. That thing would often shape a match if it was in play, period. The FarSight was ... well, I hated the damn thing. If I'm gonna snipe, I better be able to distinguish across the room from across the goddamn map. I need to prioritize threats, damnit!
Energy Sword: Wow, I can lunge at people. As if running at them and smacking them one wasn't enough? Yay, it's a one-hit kill melee weapon. But then, aren't most melee weapons one-hit kill because if you're opponent sees you coming, you're basically fucked? So, really it's a nifty lunge effect that's getting the kudos. Good pick there.
Rail-Gun: Ok, this one is deserved, though it's damn low on the list. A weapon which defined itself by redefining how the game is played. All that needs to be said.
Cerebral Bore: Ok, this is one I don't remember at all. I did miss one of the Turok games, so that's probably why. Still, going from the discription it's a drawn-out one-shot kill weapon and looks to be shortish-range. Now, personally, a good weapon is one which can bring either guaranteed death to one target at a distance, or alot of pain to several in rapid succession in closer combat. Close-range one shot kills aren't exactly something to get ecstatic over. It's basically a gimic weapon, and it's neat the first time, but as soon as the shit hits the fan, it'd be dropped for something better.
Chainsaw: Ok, this one I'm on the fence about. Yes, it was awesome, especially in corridors (ever saw your way through a backed-up line of pigdogs? Definately badass), but it was basically a last-ditch weapon, or for when you knew you could go balls-to-the-wall. Still, it
was essentially the first "melee" weapon in FPS', but then Doom wasn't exactly late in the trend, so there were a lot of firsts then. Still, I suppose out of seniority it belongs here.
And finally*, the Gravity Gun: Is it cool? Definately. Does it let you do things you couldn't before? Sure. Is it a badass weapon? Not in the least. It's a POS weapon, infact. It's a bitch to aim properly and requires ammo to be on hand and movable. Right there you've got two knocks against it. Sorry, but when I'm picking weapons I want something that either situationally is godlike (certain sniper rifles) or else is just generally solid (most assault rifles/shotguns/some SMGs). Either way, the Gravity Gun does not qualify. Again, a gimic weapon that's cool but impractical.
So, as others have said, it's basically one guy's favorite weapons, only that guy happens to be on TV and is thus an "authority" or something. Honestly, a "Best FPS weapons" list would be pretty mundane, in that practically every weapon would do the same thing, because you want reliability, not gimics, when it comes down to it. Do I care if my assault rifle has a sonar built in? No. I care if it can put out enough fire to reliably bring down a badguy quickly and accurately, and it if has a large enough clip to let me engage in lengthy firefights without reloading. That's about it. Gimics are cool and fun, but they get dropped the instant a serious fight breaks out.
*I won't comment on the Metroid, Contra and Mario-Kart entries, either becuase I haven't played them, or don't remember shit about playing them.
And yes, this is longish and definately rambling because it's 6am and I'm damn tired.