> Because the index needs accuracy.

No, it doesn't. At least, not the way you are probably defining it.

This sounds to me like you may be trying to use the index for something it's not really meant to be used for.

What is the S&P 500 meant for then? It was created in 1957 as a benchmark of US equity performance. That's S&P Global's own stated purpose. If it's systematically excluding companies that represent significant chunks of total US market cap, the index isn't doing its job.