Does It Qualifies as Mechanical Investment?

Good one! The calculation was fine, the data wasn’t.

The OP wrote:
It’s called BMX, where one buy the SPX index and then writes ATM call options.
I grabbed Yahoo data for BMX.

The index is actually BXM (ticker ^BXM)
So one more time using the index data from Yahoo, the stats below are from 1993-11-13 to 2022-07-06


                             BXM_timed        SPY
Annualized Return            0.0941000      0.0965000
Annualized Std Dev           0.1644000      0.1904000
Annualized Sharpe (Rf=0%)    0.5723000      0.5068000
maxDrawdown                  0.4579059      0.5518945

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