well, the comic is based on Twitch plays pokemon. it was a livestream of pokemon red, and later of pokemon crystal, where the viewers wrote the commands in the comments. this resulted in a lot of chaos and very random gameplay. the gameplay and tens of thousands viewers ended up making fan-stories to explain what happened in the games. There is a ton of fan-lore, more than i want to write about in the comment, but the one you are interested in would be about feraligatr. when we first got totodile it kept using leer, which has an animation that makes it look like it shoots lazers at its foes, so we dubbed totodile "lazorgator". that is why he looks like cyclops. there are a LOT more lore in this thing, even though it is fairly new, so go ahead and look around google for more
I thought that the dialogue was similar to one from a certain game, especially the part ".. must I slay you again?! - Poor, misguided child of war". But then I checked all the cutscenes, intro etc. but found nothing. So I guess that my mind was just playing with me xD
From my understanding Lazorgator was the protector of Togepi, a strong warrior who was thrown into battle so Togepi wouldn't have to fight because he/she was just a baby still. Then they released Togepi which broke Lazorgators heart because he couldn't keep protecting him/her. At least that's my understanding. If I'm wrong someone feel free to correct me.