Yes definitely. Jay wants obedience but he also loves making Sun be obedient. He enjoys that Sun is a mouthy little shit who has a sub buried deep within him that Jay needs to force to the surface. And Sun likes it too, even if he doesn't want to. His first fantasy about them involved him challenging Jay and then having Jay push him against the couch and pin him down to kiss him while Sun briefly struggled before eventually giving in. The fact that Sun is strong and a fierce fighter is super important when it comes to the brat taming, because he can actually fight Jay off when he wants to. The scene in the office in which Sun had the mascot suit on comes to mind. Jay shoved him over the table in order to see his tattoo, and Sun struggled and protested, but let Jay hold him down with one arm. He eventually pushed him away, though, without seemingly much effort, once he actually wanted to.
And yes, the power imbalance between them is real, but I don't get the impression that Sun letting Jay dominate him is ultimately about wanting to get ahead in the industry. I think if he didn't truly want this on a fundamental level he wouldn't be letting Jay get away with all of this. You see that from when he was almost sexually assaulted by those industry men. He had a literal gun to his head and he wasn't submitting. If wanting to get ahead in the industry was his sole motivation, he would have had sex with that man. He wants Jay, whether he can admit that to himself or not. He wants to be a brat and be tamed by Jay. For Jay to hold him down and force him into submission.

















