Asignment of Stroke Index and Handicap Index ought to be two different things. I remember the Spanish golf federation did this years ago and had both on the card, one for giving strokes, the other for stableford but not anymore.
Stroke Index for the purpose of giving strokes is more balanced as to where they are in the round rather than hardness etc, but its only a guideline so you do not have to do it. The Balance is important that you have shots in equal halves, that if you have six strokes you dont have them at consecutive holes and that holes 1, 9, 10 and 18 are not less than index 7.
Is this not done in the US. Here most clubs adhere to it.