no but look with SM on the board they could do Produce style survival show with SM trainees + Woollim trainees (I think company is still under SM Culture) + trainees from all CJ ENM subsidiaries, they can add independent trainees from auditions to not make this all seem 'set from the start' and then after final all girls which made it to the group can sign contracts with SM :) this way they don't need to 'split' money to other agencies, everything they will make stays in home...
that would be smart and will probably bring tons of people to watch it because after all it's SM...
Woollim is still under SM. Mystic Story is also under SM so their trainees could be hypothetically be included as well. FNC while not under SM has a very good relationship with them and they collaborate a lot so even they could be included in this fictional show idea