I forget what is the rule of thumb is, if the tissue is still blanched after ~5-7 minutes, then it needs to be re-contoured?
I tend to split the difference. I lightly adjust the soft tissue with a football diamond, then create an emergence that pushes against the tissue
a bit, and will let the interproximal push the tissue a little more, crown emergence also. Interproximal tissue seems to be more forgiving also helping to close those spaces.
The Dr needs to realize if they aren't willing to create a custom healing collar/abutment, it makes it harder for us to anticipate.