Well I hardly find myself disagreeing with Woodley except for his irrational love for Lack (this is as someone who was a Lack fan, even) but I disagree with most of this statement. Maybe he was constrained by twitter word count.
Was Marky tired in this one? Yes.
Are these statements true? Just for funsies I'll break it down the way I saw it.
Goal 1: Stone's pass looks like it's going to Marchessault in the slot. So Marky puts his pad down in anticipation of a high danger slot shot. The pass keeps going, he actually recovers quite nicely and doesn't actually commit, and is still able to get on his angle and square. There is an extra slide (it's pad down, get up, slide, get up) but he's already got momentum going that way - it would be awkward to put a t-push in here (you'll see what I mean in a minute). I don't think this is an early slide.
The issue here is that once again, a Canucks guy screens him instead of actually blocking the shot. And when you're fresh you are quicker to make last second reads.
Goal 2: You really can't over-slide on a t-push unless you take an egregious amount of depth for the situation, so I disagree with Woodley on this one. But of course I am going to use wayyy more than 280 characters to describe all this. Now, it's a janky t-push - weak, not square and very upright. The jerkiness of his legs is what shows the fatigue here - he doesn't have the crisp edgework we've seen from him all season. Because of that he doesn't really finish the t-push so he's locked and can't t-push back which is what he normally does. His push is slow and off-angle...and he runs into the Vegas guy.
P2-15:26 Actually this is where you see fatigue - usually Marky on the recovery save will still be in a lower stance. When you're tired it's easier to make the whole movement - get all the way up, go all the way down. His second save is very straight-legged - that's a sure sign of being tired.
Goal 3: I'm of two minds on this one. You ideally need two reads - one off the stick and then another one somewhere along the flight of the puck. With a blueline shot you should get a good look off the stick and it's quite far away so lots of the time you can make a save from a point shot even when you can't see the puck again after it comes off the stick blade. But on the other hand, Motte again provides a visual distraction. I don't think it's a bad goal, period. I just see too many goals that happen like this. Again, if Marky is fresh maybe he trusts his first read more and saves this.
Goal 4: Vegas guy comes in on the RW, Marky's position and depth is good. Pass goes actoss, he t-pushes to the top here when the potential shooter is in the high slot and there's a rebound option to his right....not sure how he could have played this differently, and in no way is this "over-active". Where the fatigue comes in is that although EP screens the shooter, making it hard to see the pass (or any shot he might have taken), Marky is slow to track the pass. You see his head just doesn't turn as quickly as it normally does. And because he's tired he instinctively goes into a butterfly. That locks him (he actually has to lean AWAY from the play to plant his skate to push towards the far post) and he can't recover and slide over to cover the far side. Still, it's kind of a fluke goal. Tanev has Patches and it basically just caroms in.
Goal 5: Marky pretty patient on this one initially and makes a good save on the guy in front. It goes up and over...a less tired Marky probably tracks this one a bit better and maybe recovers to his feet...but he still knows it goes over his blocker side so he turns his head that way. Have to give Patches credit for batting it down in the opposite direction, normally the play would develop slower if the puck had landed at his feet and he had to skate with it behind the net. But his d-men should also be shouting where the puck is....of course we can't know they are or aren't - yet still Marky makes the right read and turns his head back to his left and begins to recover. He also reacts properly to cover the left post. Unfortunately at this time Myers had had two chances to make the right defensive play in this sequence and completely botches it twice - the last one being the worse because if he just had engaged Karlsson's stick Marky still has a shot at saving this.
So, Goal 1 self-screen. Goal 2 definitely fatigue. Goal 3 let's say that's on Marky. Goal 4 and 5 IMO are 50/50. If the puck bounced differently off Patches maybe this totally misses the net. And if Myers takes his man Goal 5 doesn't happen. On the other hand, Marky probably makes a miracle save on one of the last two if he's processing things as quickly as usual.
TL;DR - I'd only blame one goal entirely on him being tired on a back-to-back, the rest is highly debatable. That means Vegas still wins 4-3.
PS If you want to see over-active, Fleury is moving way too aggressively to the center on Bo's 2-2 goal. Yes, it's deflected but the angle on the point shot is not too different from the deflection angle. If Fleury had gone straight down, he probably still recovers in time to stop Bo's second deflection (he reacts in time even with all this but is sliding away from the net).