Why is the LCS format setup the way it is with 2 "splits", playoffs with a "bye" and championship points?
Honestly I couldn't come up with a reasonable answer for the 2 splits even if I tried. In a way I guess it's just how it was decided upon. As for playoffs, since formats are usually varied by either an odd number bracket or KotM format, teams would be issued byes off of that. If there was any solution, it'd be have more teams to allocate either a 4-team or 8-team playoff round that way no byes would have to be given. But then that would not necessarily benefit a team who performed well during the regular season in comparison to say the 6th or 7th place team (should it be 8-team). Not only that, but no region - probably excluding China - has a wealth of teams that would produce a suitable playoff that would be effective. As for Championship Points: think of it as a way for a team to prove their consistency as the season progresses with all of the changes that come along the way against their competition.
This makes the entirety of the league confusing and unappealing to current sports fans and thus creates a separation between the things like Football and League of Legends. Why would we not use a format like the NHL does, especially in playoffs...
I still don't understand why League fans compare sports to League of Legends specifically and no other game for that matter. First off, two different volumes no matter how you want to put it. They cannot be put together as such no matter how you want to think it works that way. Secondly, sports related playoffs such as the NBA and NHL occur over spans of days! Why on Earth would you want a Semifinal best of 5 between CLG and TSM to occur 3 to 5 days out of the week when it could just be done in one sitting? And that's just one counterpoint.
Not the same. Never will be the same. Why even compare?
Why are all the different leagues LCS, LCK, LPL etc all formatted differently?
Every League has its own executive division (term needs verification) that forms the competition and as a result, not every league is or will be the same thing. Of the 13 Regional Leagues, only NA and EU have been the closest knit regions in terms of format and production; EU being the region as of late that's begun to drift off of that similarity. We've gone past the days of Best of 1 Round Robins (barring the LCL which still has them) and some regions still utilize Best of 2 (LNN being one). Not every region is a unified "LCS" if you put it that way. You an even tell by the other acronyms you utilized.
Same as above, it creates a separation between the regions and is not consistent whatsoever.
In a way, yes. In another way, not so much. What's one region's impact in relation to another? And given that most fans only care about the international result, what would it matter to the domestic format unless the outcome was negative? Take the LMS: nobody cared about their domestic competition while they were Best of 2 while others meddled and went into Best of 3 or some different format and they were still touted as a "better region" because of where their teams showed up. Yeah they got Best of 3 immediately after that and took a nose dive in opinion but I highly doubt it really stirs that much confusion and disinterest as a result.