Can chaebols be K-pop idols?

Could you possibly enlighten me on the feasibility of chaebols pursuing a career as K-pop idols? Is it conceivable for such powerful business conglomerates to transition into the realm of entertainment, specifically as singing and dancing stars? What challenges might they encounter in doing so? And how might their unique backgrounds and resources potentially impact their journey towards becoming idols? Would the fans and the industry accept such a transition, given the significant difference between business and entertainment? I'm genuinely curious about this unusual crossover potential.