"... allow heavier cars to have more horsepower to gain back some time on the lighter cars ..."
That's an idea I really like (but I don't know if it is practical.) I know versions have been tried in the past and I'd love to see it again---let each car have its strengths and weaknesses and balance overall performance.
The problem is track configuration becomes too important--an extra-long straight or a couple extra-tight corners could give one or the other an insurmountable advantage.
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