Form 1099-B and generated worksheets would not be included but Form 8949, Sales and Other Dispositions of Capital Assets, should capture all these individual details sorted long-term and short-term, covered and non-covered. All Forms 8949 will be included.
The main focus of this exercise is to report the full amount of the capital gain and pay the associated tax. This is still being done by your described method and is still making the extra effort to capture the full capital gain in total. As an added note, adjust the cost, not the sale. The IRS accepts cost basis adjustments without issue. Keep Form 1099-B for your records.
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