It could definitely work, under the following conditions:

We’d definitely have to reinstate “I never wanted you dead, I wanted you here, with me” AND “Kill me, and my spirit will pass into you, as all the Sith live in me” back to where they are. This is because we would have to remove Rey’s remarks about her parents being good (maybe not “Weak, like your parents”). Reinstating both of these would help their scenes feel less cut down.
Her visions of her parents would have to go. As Hal said, and I agreed with, the audience will ALWAYS believe what they’re being shown over what they’re told. Your idea of having the Sith throne being one of her brief visions is solid. But we still would have to deal with the other one.
TFA’s vision desperately needs its ship replaced with a different one. Unless we can come up with some crazy reason why they’d be flying around a Sith assassin’s ship.