Is Kendrick on the same level or even bigger right now than ‘98 DMX, ‘02 Eminem, ‘03 50 Cent, ‘08 Lil Wayne, or 2016 Drake?
He's not bigger than '03 50 Cent

He's not bigger than '02 Eminem

Those 2 were global phenomenons.
He has an argument for being bigger than DMX in '98. DMX was an inferno that died out fast, if Kendrick carries this into next year then I'd say he's surpassed DMX.
Wayne and Drake were more about longevity and hearing them everywhere. Drake ruled the waves for a decade. Lil Wayne had the streets and mixtapes on lock. I'd say Kendrick's current run is nearly equivalent but he needs to show he's more than riding the waves of this Drake beef.
I'll give an example. Nas won in 2001. Stillmatic was awesome. Then... he just fell off the map. Once the beef euphoria wore off (no pun, also, pause), what did he have to lean back on? Is Kendrick's run better than Nas in 2001? I'd say no. Come back in a year and let's see who's ruling the waves before we make a determination.