Punishment isn’t the way to go. New players have a lot of content to complete before they can reach endgame and what you are asking takes a lot of extra time.
Also when buying a story skip (It’s also possible to buy an xp boost without a story skip), only MSQ is unlocked and it takes a while to unlock the rest of the content. Most players who buy that want to reach endgame first (though for me it was an alt char on an EU dc for pvp, Blue and deep dungeons with friends). Basic things such as retainers, glamours, chocobo battle, chocobo bag, aesthetician, extremes, all other raids are locked and require running all sorts of quests.
Quite frankly, I found it a bit discouraging at first. I slowly unlocked all possible raids until the end of ShB (except Nier 3 for health reasons) but it took me 2 months yet getting to lvl 90 only took 3 days and it’s not on even on a preferred world. I found myself locked out of roulette the week after I finished unlocking the raids. Doing the raid stories, waiting in queue (though that was not very long even back then, 20 mins at most, it adds up when it’s for all raids) and the raid themselves takes a lot of time.
It’s easy for veterans with one character to unlock a raid not even every six months or so and complain, it’s a lot more work for a new player or character to unlock everything. With the xbox players arriving soon and then Dawntrail, there’s going to be a lot of new players. Most of them will likely end up on preferred worlds too with a huge xp boost on top of other xp items and fc boost. Locking them out of roulette, and it’s even worse if they paid SE money to get a skip, isn’t the way to go.
iLvl should be simply tied to MSQ progress (that also implies that you’ve reached the corresponding lvl on at least one job).
For the rest, SE could provide incentives such as a mount or guaranteed minion for unlocking a raid series on top of making the questlines more easily identifiable (your map is filled with blue markers and nothing distinguishes AR quests). Some people don’t even k know there are ARs other than CT.