Tanjiro gets most of awesome moments, which include;
Horrifying every demon that he encounters, including even Muzan and the Twelve Kizuki.
Torturing the demon in the temple with nothing but a normal ax (before exposing him to the sunlight in Chapter 1 of the Twitter version). Cross the Line Twice hilarious? Yes. Scary to showcase that he is Ax-Crazy now and is not like his canon counterpart? Yes. Awesome? Hell yes.
Tanjiro vs Akaza and Kokushibo (and later, Muzan):
Akaza showing his determination just like in canon and props to him for taking Tanjiro's Demon Slayer to the gut and holding Tanjiro off long enough for both Kokushibo and Muzan to attack.
Both Akaza and Kokushibo holding their own against Tanjiro and are able to put up a decent competent fight and somewhat match him in battle while giving him some trouble and able to last longer than the other demons against him even with him in the Armor of the First Swordsman. This is an especially impressive feat for them, considering the record in most of Tanjiro's battle against other demons were one-sided, making it quite fitting for their status as the strongest demons in the Upper Moon.
Catharsis Factor: You have to admit, it is both so damn funny and satisfying to see Muzan running away for his own life from Tanjiro after scaring and terrifying the Big Bad himself to fear for his life like how Yoriichi did before then giving the chase after him.
After Giyu asks Urokodaki to mentor Tanjiro, who viciously tortured and killed the demon in the temple with an ax, Urokodaki comes to understand why nobody likesGiyu.
One of the funniest is Muzan immediately running away from Tanjiro. Seriously, never has a Monster Progenitor being scared so shitless and running away literally for his own life to save his own hide been so damn funny. The priceless expressions along with Tanjiro then giving the chase just make it downright hilarious. It doubles as an Awesome Moment too.
Nightmare Fuel: Tanjiro coming home to find his entire family having been bloodily murdered is bad in canon. But Tanjiro seeing his entire family getting slaughtered by Muzan right in front of his own eyes and losing his right eye and left arm as a result while being powerless to do anything about it? In the first page alone? That's even worse. It's no wonder why he became an Ax-Crazyjerkass instead of the Nice Guy he was before and in canon.
Tear Jerker: Sure, Tanjiro coming home to only find most of his entire family been murdered in canon is bad. But the fact Tanjiro seeing most of them getting killed by Muzan in front of him while losing an eye and an arm and being powerless to do anything to stop the demon in the first page alone is even worse here.