You're right, it does. Terrible fanfic, at that.
EDIT: Ok, I won't be such a prat about it. I remember when I first got into fangaming, and I spent ages writing a terrible fanfic style plot. Basically, that's not what's important. You should make levels that are fun to play first. Don't touch the story until well, well, WELL after you've made every level. Look at Sonic 1. You could barely tell there's a story, but the manual has a little something. The thing is, the manual stuff is different on both sides of the Pacific. Story should be completely detached from game. Completely siloed.
Don't waste your time writing fanfiction when you could be having fun making games, let's leave it at that.
EDIT 2: Also, you've got the progression completely and utterly wrong, by the way. Sonic CD comes between Sonic 1 and Sonic 2, and Sonic: Before the Sequel is consequently an unplayable game for me because it places story before gameplay. Don't fall into that rut. LakeLeapard knows how to crank out pretty stuff, that's for sure, but it's held together with string and chewing gum. He is not the ideal you should admire, let alone copy.