One suggestion was that 4NT-5m-5♠ should be a slam-force with five spades and six of the other minor. I countered with:
5H followed by 5NT = spades + a worse minor
5H then 6m = spades + a better minor with first-round heart control
4NT then 6om = spades + a better minor without first-round heart control
4NT then 5♠ = just spades, with a heart control
5H then 6m = spades + a better minor with first-round heart control
4NT then 6om = spades + a better minor without first-round heart control
4NT then 5♠ = just spades, with a heart control